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Finding the Fourth Proportional to 3,494.40, 5,244.30 and 2,398.74

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Solution

The fourth proportional to 3,494.40, 5,244.30 and 2,398.74 is: 3,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.40 : 5,244.30 = 2,398.74 : x
  2. Step 2: Convert to fraction form
    3,494.40/5,244.30 = 2,398.74/x
  3. Step 3: Cross multiply
    3,494.40x = 5,244.30 × 2,398.74
  4. Step 4: Simplify right side
    3,494.40x = 12,579,712.18
  5. Step 5: Solve for x
    x = 12,579,712.18/3,494.40
  6. Step 6: Final answer
    x = 3,599.96

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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.