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Finding the Fourth Proportional to 5,538.78, 7,643.71 and 3,149.15

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Solution

The fourth proportional to 5,538.78, 7,643.71 and 3,149.15 is: 4,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.78 : 7,643.71 = 3,149.15 : x
  2. Step 2: Convert to fraction form
    5,538.78/7,643.71 = 3,149.15/x
  3. Step 3: Cross multiply
    5,538.78x = 7,643.71 × 3,149.15
  4. Step 4: Simplify right side
    5,538.78x = 24,071,159.01
  5. Step 5: Solve for x
    x = 24,071,159.01/5,538.78
  6. Step 6: Final answer
    x = 4,345.93

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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.