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Finding the Fourth Proportional to 5,002.70, 7,505.04 and 1,715.90

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Solution

The fourth proportional to 5,002.70, 7,505.04 and 1,715.90 is: 2,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.70 : 7,505.04 = 1,715.90 : x
  2. Step 2: Convert to fraction form
    5,002.70/7,505.04 = 1,715.90/x
  3. Step 3: Cross multiply
    5,002.70x = 7,505.04 × 1,715.90
  4. Step 4: Simplify right side
    5,002.70x = 12,877,898.14
  5. Step 5: Solve for x
    x = 12,877,898.14/5,002.70
  6. Step 6: Final answer
    x = 2,574.19

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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.