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Finding the Fourth Proportional to 5,687.30, 8,532.30 and 2,914.40

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Solution

The fourth proportional to 5,687.30, 8,532.30 and 2,914.40 is: 4,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.30 : 8,532.30 = 2,914.40 : x
  2. Step 2: Convert to fraction form
    5,687.30/8,532.30 = 2,914.40/x
  3. Step 3: Cross multiply
    5,687.30x = 8,532.30 × 2,914.40
  4. Step 4: Simplify right side
    5,687.30x = 24,866,535.12
  5. Step 5: Solve for x
    x = 24,866,535.12/5,687.30
  6. Step 6: Final answer
    x = 4,372.29

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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.