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Finding the Fourth Proportional to 5,220,857.90, 7,831,286.85 and 4,866,563.90

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Solution

The fourth proportional to 5,220,857.90, 7,831,286.85 and 4,866,563.90 is: 7,299,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220,857.90 : 7,831,286.85 = 4,866,563.90 : x
  2. Step 2: Convert to fraction form
    5,220,857.90/7,831,286.85 = 4,866,563.90/x
  3. Step 3: Cross multiply
    5,220,857.90x = 7,831,286.85 × 4,866,563.90
  4. Step 4: Simplify right side
    5,220,857.90x = 38,111,457,874,754.72
  5. Step 5: Solve for x
    x = 38,111,457,874,754.72/5,220,857.90
  6. Step 6: Final answer
    x = 7,299,845.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.