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Finding the Fourth Proportional to 3,957.49, 5,461.16 and 2,278.54

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Solution

The fourth proportional to 3,957.49, 5,461.16 and 2,278.54 is: 3,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.49 : 5,461.16 = 2,278.54 : x
  2. Step 2: Convert to fraction form
    3,957.49/5,461.16 = 2,278.54/x
  3. Step 3: Cross multiply
    3,957.49x = 5,461.16 × 2,278.54
  4. Step 4: Simplify right side
    3,957.49x = 12,443,432.81
  5. Step 5: Solve for x
    x = 12,443,432.81/3,957.49
  6. Step 6: Final answer
    x = 3,144.27

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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.