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Finding the Fourth Proportional to 3,747.36, 5,167.80 and 3,539.64

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Solution

The fourth proportional to 3,747.36, 5,167.80 and 3,539.64 is: 4,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.36 : 5,167.80 = 3,539.64 : x
  2. Step 2: Convert to fraction form
    3,747.36/5,167.80 = 3,539.64/x
  3. Step 3: Cross multiply
    3,747.36x = 5,167.80 × 3,539.64
  4. Step 4: Simplify right side
    3,747.36x = 18,292,151.59
  5. Step 5: Solve for x
    x = 18,292,151.59/3,747.36
  6. Step 6: Final answer
    x = 4,881.34

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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.