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Finding the Fourth Proportional to 3,701.72, 5,551.14 and 3,658.52

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Solution

The fourth proportional to 3,701.72, 5,551.14 and 3,658.52 is: 5,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.72 : 5,551.14 = 3,658.52 : x
  2. Step 2: Convert to fraction form
    3,701.72/5,551.14 = 3,658.52/x
  3. Step 3: Cross multiply
    3,701.72x = 5,551.14 × 3,658.52
  4. Step 4: Simplify right side
    3,701.72x = 20,308,956.71
  5. Step 5: Solve for x
    x = 20,308,956.71/3,701.72
  6. Step 6: Final answer
    x = 5,486.36

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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.