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Finding the Fourth Proportional to 3,851.49, 5,778.15 and 1,254.42

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Solution

The fourth proportional to 3,851.49, 5,778.15 and 1,254.42 is: 1,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.49 : 5,778.15 = 1,254.42 : x
  2. Step 2: Convert to fraction form
    3,851.49/5,778.15 = 1,254.42/x
  3. Step 3: Cross multiply
    3,851.49x = 5,778.15 × 1,254.42
  4. Step 4: Simplify right side
    3,851.49x = 7,248,226.92
  5. Step 5: Solve for x
    x = 7,248,226.92/3,851.49
  6. Step 6: Final answer
    x = 1,881.93

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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.