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Finding the Fourth Proportional to 3,864.42, 5,750.15 and 3,851.46

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Solution

The fourth proportional to 3,864.42, 5,750.15 and 3,851.46 is: 5,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.42 : 5,750.15 = 3,851.46 : x
  2. Step 2: Convert to fraction form
    3,864.42/5,750.15 = 3,851.46/x
  3. Step 3: Cross multiply
    3,864.42x = 5,750.15 × 3,851.46
  4. Step 4: Simplify right side
    3,864.42x = 22,146,453.46
  5. Step 5: Solve for x
    x = 22,146,453.46/3,864.42
  6. Step 6: Final answer
    x = 5,730.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.