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Finding the Fourth Proportional to 3,412.56, 5,118.84 and 2,258.04

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Solution

The fourth proportional to 3,412.56, 5,118.84 and 2,258.04 is: 3,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.56 : 5,118.84 = 2,258.04 : x
  2. Step 2: Convert to fraction form
    3,412.56/5,118.84 = 2,258.04/x
  3. Step 3: Cross multiply
    3,412.56x = 5,118.84 × 2,258.04
  4. Step 4: Simplify right side
    3,412.56x = 11,558,545.47
  5. Step 5: Solve for x
    x = 11,558,545.47/3,412.56
  6. Step 6: Final answer
    x = 3,387.06

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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.