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Finding the Fourth Proportional to 5,664.62, 8,500.07 and 1,969.50

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Solution

The fourth proportional to 5,664.62, 8,500.07 and 1,969.50 is: 2,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.62 : 8,500.07 = 1,969.50 : x
  2. Step 2: Convert to fraction form
    5,664.62/8,500.07 = 1,969.50/x
  3. Step 3: Cross multiply
    5,664.62x = 8,500.07 × 1,969.50
  4. Step 4: Simplify right side
    5,664.62x = 16,740,878.02
  5. Step 5: Solve for x
    x = 16,740,878.02/5,664.62
  6. Step 6: Final answer
    x = 2,955.34

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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.