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Finding the Fourth Proportional to 5,103.72, 7,643.52 and 3,347.64

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Solution

The fourth proportional to 5,103.72, 7,643.52 and 3,347.64 is: 5,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.72 : 7,643.52 = 3,347.64 : x
  2. Step 2: Convert to fraction form
    5,103.72/7,643.52 = 3,347.64/x
  3. Step 3: Cross multiply
    5,103.72x = 7,643.52 × 3,347.64
  4. Step 4: Simplify right side
    5,103.72x = 25,587,753.29
  5. Step 5: Solve for x
    x = 25,587,753.29/5,103.72
  6. Step 6: Final answer
    x = 5,013.55

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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.