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Finding the Fourth Proportional to 3,414.78, 5,124.60 and 1,857.96

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Solution

The fourth proportional to 3,414.78, 5,124.60 and 1,857.96 is: 2,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.78 : 5,124.60 = 1,857.96 : x
  2. Step 2: Convert to fraction form
    3,414.78/5,124.60 = 1,857.96/x
  3. Step 3: Cross multiply
    3,414.78x = 5,124.60 × 1,857.96
  4. Step 4: Simplify right side
    3,414.78x = 9,521,301.82
  5. Step 5: Solve for x
    x = 9,521,301.82/3,414.78
  6. Step 6: Final answer
    x = 2,788.26

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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.