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Finding the Fourth Proportional to 5,920.32, 8,869.68 and 3,974.40

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Solution

The fourth proportional to 5,920.32, 8,869.68 and 3,974.40 is: 5,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.32 : 8,869.68 = 3,974.40 : x
  2. Step 2: Convert to fraction form
    5,920.32/8,869.68 = 3,974.40/x
  3. Step 3: Cross multiply
    5,920.32x = 8,869.68 × 3,974.40
  4. Step 4: Simplify right side
    5,920.32x = 35,251,656.19
  5. Step 5: Solve for x
    x = 35,251,656.19/5,920.32
  6. Step 6: Final answer
    x = 5,954.35

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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.