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Finding the Fourth Proportional to 3,916.34, 5,404.68 and 2,147.95

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Solution

The fourth proportional to 3,916.34, 5,404.68 and 2,147.95 is: 2,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.34 : 5,404.68 = 2,147.95 : x
  2. Step 2: Convert to fraction form
    3,916.34/5,404.68 = 2,147.95/x
  3. Step 3: Cross multiply
    3,916.34x = 5,404.68 × 2,147.95
  4. Step 4: Simplify right side
    3,916.34x = 11,608,968.89
  5. Step 5: Solve for x
    x = 11,608,968.89/3,916.34
  6. Step 6: Final answer
    x = 2,964.24

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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.