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Finding the Fourth Proportional to 3,902.94, 5,854.52 and 1,129.72

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Solution

The fourth proportional to 3,902.94, 5,854.52 and 1,129.72 is: 1,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.94 : 5,854.52 = 1,129.72 : x
  2. Step 2: Convert to fraction form
    3,902.94/5,854.52 = 1,129.72/x
  3. Step 3: Cross multiply
    3,902.94x = 5,854.52 × 1,129.72
  4. Step 4: Simplify right side
    3,902.94x = 6,613,968.33
  5. Step 5: Solve for x
    x = 6,613,968.33/3,902.94
  6. Step 6: Final answer
    x = 1,694.61

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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.