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Finding the Fourth Proportional to 3,656.16, 5,042.04 and 2,537.28

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Solution

The fourth proportional to 3,656.16, 5,042.04 and 2,537.28 is: 3,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.16 : 5,042.04 = 2,537.28 : x
  2. Step 2: Convert to fraction form
    3,656.16/5,042.04 = 2,537.28/x
  3. Step 3: Cross multiply
    3,656.16x = 5,042.04 × 2,537.28
  4. Step 4: Simplify right side
    3,656.16x = 12,793,067.25
  5. Step 5: Solve for x
    x = 12,793,067.25/3,656.16
  6. Step 6: Final answer
    x = 3,499.04

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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.