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Finding the Fourth Proportional to 5,665.16, 8,456.48 and 5,197.79

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Solution

The fourth proportional to 5,665.16, 8,456.48 and 5,197.79 is: 7,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.16 : 8,456.48 = 5,197.79 : x
  2. Step 2: Convert to fraction form
    5,665.16/8,456.48 = 5,197.79/x
  3. Step 3: Cross multiply
    5,665.16x = 8,456.48 × 5,197.79
  4. Step 4: Simplify right side
    5,665.16x = 43,954,938.91
  5. Step 5: Solve for x
    x = 43,954,938.91/5,665.16
  6. Step 6: Final answer
    x = 7,758.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.