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Finding the Fourth Proportional to 3,856.64, 5,323.92 and 2,461.28

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Solution

The fourth proportional to 3,856.64, 5,323.92 and 2,461.28 is: 3,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.64 : 5,323.92 = 2,461.28 : x
  2. Step 2: Convert to fraction form
    3,856.64/5,323.92 = 2,461.28/x
  3. Step 3: Cross multiply
    3,856.64x = 5,323.92 × 2,461.28
  4. Step 4: Simplify right side
    3,856.64x = 13,103,657.82
  5. Step 5: Solve for x
    x = 13,103,657.82/3,856.64
  6. Step 6: Final answer
    x = 3,397.69

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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.