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Finding the Fourth Proportional to 3,974.92, 5,485.26 and 2,402.74

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Solution

The fourth proportional to 3,974.92, 5,485.26 and 2,402.74 is: 3,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.92 : 5,485.26 = 2,402.74 : x
  2. Step 2: Convert to fraction form
    3,974.92/5,485.26 = 2,402.74/x
  3. Step 3: Cross multiply
    3,974.92x = 5,485.26 × 2,402.74
  4. Step 4: Simplify right side
    3,974.92x = 13,179,653.61
  5. Step 5: Solve for x
    x = 13,179,653.61/3,974.92
  6. Step 6: Final answer
    x = 3,315.70

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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.