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Finding the Fourth Proportional to 5,002.32, 7,502.04 and 1,715.40

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Solution

The fourth proportional to 5,002.32, 7,502.04 and 1,715.40 is: 2,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.32 : 7,502.04 = 1,715.40 : x
  2. Step 2: Convert to fraction form
    5,002.32/7,502.04 = 1,715.40/x
  3. Step 3: Cross multiply
    5,002.32x = 7,502.04 × 1,715.40
  4. Step 4: Simplify right side
    5,002.32x = 12,868,999.42
  5. Step 5: Solve for x
    x = 12,868,999.42/5,002.32
  6. Step 6: Final answer
    x = 2,572.61

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