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Finding the Fourth Proportional to 5,091.66, 7,640.12 and 2,169.18

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Solution

The fourth proportional to 5,091.66, 7,640.12 and 2,169.18 is: 3,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.66 : 7,640.12 = 2,169.18 : x
  2. Step 2: Convert to fraction form
    5,091.66/7,640.12 = 2,169.18/x
  3. Step 3: Cross multiply
    5,091.66x = 7,640.12 × 2,169.18
  4. Step 4: Simplify right side
    5,091.66x = 16,572,800.92
  5. Step 5: Solve for x
    x = 16,572,800.92/5,091.66
  6. Step 6: Final answer
    x = 3,254.89

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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.