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Finding the Fourth Proportional to 3,681.52, 5,521.86 and 1,049.18

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Solution

The fourth proportional to 3,681.52, 5,521.86 and 1,049.18 is: 1,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.52 : 5,521.86 = 1,049.18 : x
  2. Step 2: Convert to fraction form
    3,681.52/5,521.86 = 1,049.18/x
  3. Step 3: Cross multiply
    3,681.52x = 5,521.86 × 1,049.18
  4. Step 4: Simplify right side
    3,681.52x = 5,793,397.47
  5. Step 5: Solve for x
    x = 5,793,397.47/3,681.52
  6. Step 6: Final answer
    x = 1,573.64

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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.