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Finding the Fourth Proportional to 3,951.86, 5,456.16 and 2,461.86

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Solution

The fourth proportional to 3,951.86, 5,456.16 and 2,461.86 is: 3,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.86 : 5,456.16 = 2,461.86 : x
  2. Step 2: Convert to fraction form
    3,951.86/5,456.16 = 2,461.86/x
  3. Step 3: Cross multiply
    3,951.86x = 5,456.16 × 2,461.86
  4. Step 4: Simplify right side
    3,951.86x = 13,432,302.06
  5. Step 5: Solve for x
    x = 13,432,302.06/3,951.86
  6. Step 6: Final answer
    x = 3,398.99

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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.