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Finding the Fourth Proportional to 3,902.85, 5,387.00 and 2,225.13

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Solution

The fourth proportional to 3,902.85, 5,387.00 and 2,225.13 is: 3,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.85 : 5,387.00 = 2,225.13 : x
  2. Step 2: Convert to fraction form
    3,902.85/5,387.00 = 2,225.13/x
  3. Step 3: Cross multiply
    3,902.85x = 5,387.00 × 2,225.13
  4. Step 4: Simplify right side
    3,902.85x = 11,986,764.18
  5. Step 5: Solve for x
    x = 11,986,764.18/3,902.85
  6. Step 6: Final answer
    x = 3,071.28

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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.