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Finding the Fourth Proportional to 5,529.60, 8,294.40 and 3,974.40

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Solution

The fourth proportional to 5,529.60, 8,294.40 and 3,974.40 is: 5,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529.60 : 8,294.40 = 3,974.40 : x
  2. Step 2: Convert to fraction form
    5,529.60/8,294.40 = 3,974.40/x
  3. Step 3: Cross multiply
    5,529.60x = 8,294.40 × 3,974.40
  4. Step 4: Simplify right side
    5,529.60x = 32,965,263.36
  5. Step 5: Solve for x
    x = 32,965,263.36/5,529.60
  6. Step 6: Final answer
    x = 5,961.60

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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.