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Finding the Fourth Proportional to 3,502.09, 5,258.14 and 3,439.82

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Solution

The fourth proportional to 3,502.09, 5,258.14 and 3,439.82 is: 5,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.09 : 5,258.14 = 3,439.82 : x
  2. Step 2: Convert to fraction form
    3,502.09/5,258.14 = 3,439.82/x
  3. Step 3: Cross multiply
    3,502.09x = 5,258.14 × 3,439.82
  4. Step 4: Simplify right side
    3,502.09x = 18,087,039.78
  5. Step 5: Solve for x
    x = 18,087,039.78/3,502.09
  6. Step 6: Final answer
    x = 5,164.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.