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Finding the Fourth Proportional to 3,974.80, 5,486.88 and 2,402.50

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Solution

The fourth proportional to 3,974.80, 5,486.88 and 2,402.50 is: 3,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.80 : 5,486.88 = 2,402.50 : x
  2. Step 2: Convert to fraction form
    3,974.80/5,486.88 = 2,402.50/x
  3. Step 3: Cross multiply
    3,974.80x = 5,486.88 × 2,402.50
  4. Step 4: Simplify right side
    3,974.80x = 13,182,229.20
  5. Step 5: Solve for x
    x = 13,182,229.20/3,974.80
  6. Step 6: Final answer
    x = 3,316.45

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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.