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Finding the Fourth Proportional to 3,924.32, 5,416.08 and 2,531.12

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Solution

The fourth proportional to 3,924.32, 5,416.08 and 2,531.12 is: 3,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.32 : 5,416.08 = 2,531.12 : x
  2. Step 2: Convert to fraction form
    3,924.32/5,416.08 = 2,531.12/x
  3. Step 3: Cross multiply
    3,924.32x = 5,416.08 × 2,531.12
  4. Step 4: Simplify right side
    3,924.32x = 13,708,748.41
  5. Step 5: Solve for x
    x = 13,708,748.41/3,924.32
  6. Step 6: Final answer
    x = 3,493.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.