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Finding the Fourth Proportional to 5,531.52, 7,637.04 and 3,438.48

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Solution

The fourth proportional to 5,531.52, 7,637.04 and 3,438.48 is: 4,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.52 : 7,637.04 = 3,438.48 : x
  2. Step 2: Convert to fraction form
    5,531.52/7,637.04 = 3,438.48/x
  3. Step 3: Cross multiply
    5,531.52x = 7,637.04 × 3,438.48
  4. Step 4: Simplify right side
    5,531.52x = 26,259,809.30
  5. Step 5: Solve for x
    x = 26,259,809.30/5,531.52
  6. Step 6: Final answer
    x = 4,747.30

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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.