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Finding the Fourth Proportional to 3,856.72, 5,319.72 and 2,461.20

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Solution

The fourth proportional to 3,856.72, 5,319.72 and 2,461.20 is: 3,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.72 : 5,319.72 = 2,461.20 : x
  2. Step 2: Convert to fraction form
    3,856.72/5,319.72 = 2,461.20/x
  3. Step 3: Cross multiply
    3,856.72x = 5,319.72 × 2,461.20
  4. Step 4: Simplify right side
    3,856.72x = 13,092,894.86
  5. Step 5: Solve for x
    x = 13,092,894.86/3,856.72
  6. Step 6: Final answer
    x = 3,394.83

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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.