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Finding the Fourth Proportional to 3,927.60, 5,418 and 2,354.76

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Solution

The fourth proportional to 3,927.60, 5,418 and 2,354.76 is: 3,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.60 : 5,418 = 2,354.76 : x
  2. Step 2: Convert to fraction form
    3,927.60/5,418 = 2,354.76/x
  3. Step 3: Cross multiply
    3,927.60x = 5,418 × 2,354.76
  4. Step 4: Simplify right side
    3,927.60x = 12,758,089.68
  5. Step 5: Solve for x
    x = 12,758,089.68/3,927.60
  6. Step 6: Final answer
    x = 3,248.32

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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.