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Finding the Fourth Proportional to 3,489.56, 5,258.35 and 2,886.83

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Solution

The fourth proportional to 3,489.56, 5,258.35 and 2,886.83 is: 4,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.56 : 5,258.35 = 2,886.83 : x
  2. Step 2: Convert to fraction form
    3,489.56/5,258.35 = 2,886.83/x
  3. Step 3: Cross multiply
    3,489.56x = 5,258.35 × 2,886.83
  4. Step 4: Simplify right side
    3,489.56x = 15,179,962.53
  5. Step 5: Solve for x
    x = 15,179,962.53/3,489.56
  6. Step 6: Final answer
    x = 4,350.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.