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Finding the Fourth Proportional to 3,740.42, 5,152.43 and 2,854.69

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Solution

The fourth proportional to 3,740.42, 5,152.43 and 2,854.69 is: 3,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.42 : 5,152.43 = 2,854.69 : x
  2. Step 2: Convert to fraction form
    3,740.42/5,152.43 = 2,854.69/x
  3. Step 3: Cross multiply
    3,740.42x = 5,152.43 × 2,854.69
  4. Step 4: Simplify right side
    3,740.42x = 14,708,584.65
  5. Step 5: Solve for x
    x = 14,708,584.65/3,740.42
  6. Step 6: Final answer
    x = 3,932.33

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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.