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Finding the Fourth Proportional to 5,695.80, 8,532.90 and 4,869.60

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Solution

The fourth proportional to 5,695.80, 8,532.90 and 4,869.60 is: 7,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.80 : 8,532.90 = 4,869.60 : x
  2. Step 2: Convert to fraction form
    5,695.80/8,532.90 = 4,869.60/x
  3. Step 3: Cross multiply
    5,695.80x = 8,532.90 × 4,869.60
  4. Step 4: Simplify right side
    5,695.80x = 41,551,809.84
  5. Step 5: Solve for x
    x = 41,551,809.84/5,695.80
  6. Step 6: Final answer
    x = 7,295.17

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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.