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Finding the Fourth Proportional to 3,387.72, 5,081.16 and 1,538.76

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Solution

The fourth proportional to 3,387.72, 5,081.16 and 1,538.76 is: 2,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.72 : 5,081.16 = 1,538.76 : x
  2. Step 2: Convert to fraction form
    3,387.72/5,081.16 = 1,538.76/x
  3. Step 3: Cross multiply
    3,387.72x = 5,081.16 × 1,538.76
  4. Step 4: Simplify right side
    3,387.72x = 7,818,685.76
  5. Step 5: Solve for x
    x = 7,818,685.76/3,387.72
  6. Step 6: Final answer
    x = 2,307.95

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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.