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Finding the Fourth Proportional to 3,627.72, 5,442.12 and 1,778.58

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Solution

The fourth proportional to 3,627.72, 5,442.12 and 1,778.58 is: 2,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.72 : 5,442.12 = 1,778.58 : x
  2. Step 2: Convert to fraction form
    3,627.72/5,442.12 = 1,778.58/x
  3. Step 3: Cross multiply
    3,627.72x = 5,442.12 × 1,778.58
  4. Step 4: Simplify right side
    3,627.72x = 9,679,245.79
  5. Step 5: Solve for x
    x = 9,679,245.79/3,627.72
  6. Step 6: Final answer
    x = 2,668.13

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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.