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Finding the Fourth Proportional to 4,327.52, 5,972.32 and 2,464.48

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Solution

The fourth proportional to 4,327.52, 5,972.32 and 2,464.48 is: 3,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.52 : 5,972.32 = 2,464.48 : x
  2. Step 2: Convert to fraction form
    4,327.52/5,972.32 = 2,464.48/x
  3. Step 3: Cross multiply
    4,327.52x = 5,972.32 × 2,464.48
  4. Step 4: Simplify right side
    4,327.52x = 14,718,663.19
  5. Step 5: Solve for x
    x = 14,718,663.19/4,327.52
  6. Step 6: Final answer
    x = 3,401.18

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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.