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Finding the Fourth Proportional to 3,916.78, 5,405.16 and 2,148.40

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Solution

The fourth proportional to 3,916.78, 5,405.16 and 2,148.40 is: 2,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.78 : 5,405.16 = 2,148.40 : x
  2. Step 2: Convert to fraction form
    3,916.78/5,405.16 = 2,148.40/x
  3. Step 3: Cross multiply
    3,916.78x = 5,405.16 × 2,148.40
  4. Step 4: Simplify right side
    3,916.78x = 11,612,445.74
  5. Step 5: Solve for x
    x = 11,612,445.74/3,916.78
  6. Step 6: Final answer
    x = 2,964.79

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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.