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Finding the Fourth Proportional to 3,916.42, 5,404.52 and 2,148.09

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Solution

The fourth proportional to 3,916.42, 5,404.52 and 2,148.09 is: 2,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.42 : 5,404.52 = 2,148.09 : x
  2. Step 2: Convert to fraction form
    3,916.42/5,404.52 = 2,148.09/x
  3. Step 3: Cross multiply
    3,916.42x = 5,404.52 × 2,148.09
  4. Step 4: Simplify right side
    3,916.42x = 11,609,380.47
  5. Step 5: Solve for x
    x = 11,609,380.47/3,916.42
  6. Step 6: Final answer
    x = 2,964.29

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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.