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Finding the Fourth Proportional to 3,492.48, 5,242.16 and 2,565.43

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Solution

The fourth proportional to 3,492.48, 5,242.16 and 2,565.43 is: 3,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.48 : 5,242.16 = 2,565.43 : x
  2. Step 2: Convert to fraction form
    3,492.48/5,242.16 = 2,565.43/x
  3. Step 3: Cross multiply
    3,492.48x = 5,242.16 × 2,565.43
  4. Step 4: Simplify right side
    3,492.48x = 13,448,397.87
  5. Step 5: Solve for x
    x = 13,448,397.87/3,492.48
  6. Step 6: Final answer
    x = 3,850.68

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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.