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Finding the Fourth Proportional to 3,442.55, 5,166.51 and 1,593.86

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Solution

The fourth proportional to 3,442.55, 5,166.51 and 1,593.86 is: 2,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.55 : 5,166.51 = 1,593.86 : x
  2. Step 2: Convert to fraction form
    3,442.55/5,166.51 = 1,593.86/x
  3. Step 3: Cross multiply
    3,442.55x = 5,166.51 × 1,593.86
  4. Step 4: Simplify right side
    3,442.55x = 8,234,685.66
  5. Step 5: Solve for x
    x = 8,234,685.66/3,442.55
  6. Step 6: Final answer
    x = 2,392.03

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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.