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Finding the Fourth Proportional to 5,115.64, 7,674.33 and 1,604.97

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Solution

The fourth proportional to 5,115.64, 7,674.33 and 1,604.97 is: 2,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.64 : 7,674.33 = 1,604.97 : x
  2. Step 2: Convert to fraction form
    5,115.64/7,674.33 = 1,604.97/x
  3. Step 3: Cross multiply
    5,115.64x = 7,674.33 × 1,604.97
  4. Step 4: Simplify right side
    5,115.64x = 12,317,023.02
  5. Step 5: Solve for x
    x = 12,317,023.02/5,115.64
  6. Step 6: Final answer
    x = 2,407.72

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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.