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Finding the Fourth Proportional to 3,734.86, 5,155.70 and 2,658.83

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Solution

The fourth proportional to 3,734.86, 5,155.70 and 2,658.83 is: 3,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.86 : 5,155.70 = 2,658.83 : x
  2. Step 2: Convert to fraction form
    3,734.86/5,155.70 = 2,658.83/x
  3. Step 3: Cross multiply
    3,734.86x = 5,155.70 × 2,658.83
  4. Step 4: Simplify right side
    3,734.86x = 13,708,104.05
  5. Step 5: Solve for x
    x = 13,708,104.05/3,734.86
  6. Step 6: Final answer
    x = 3,670.32

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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.