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Finding the Fourth Proportional to 5,374.46, 8,064.92 and 2,296.46

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Solution

The fourth proportional to 5,374.46, 8,064.92 and 2,296.46 is: 3,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.46 : 8,064.92 = 2,296.46 : x
  2. Step 2: Convert to fraction form
    5,374.46/8,064.92 = 2,296.46/x
  3. Step 3: Cross multiply
    5,374.46x = 8,064.92 × 2,296.46
  4. Step 4: Simplify right side
    5,374.46x = 18,520,731.60
  5. Step 5: Solve for x
    x = 18,520,731.60/5,374.46
  6. Step 6: Final answer
    x = 3,446.07

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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.