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Finding the Fourth Proportional to 3,809.66, 5,715.16 and 1,177.13

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Solution

The fourth proportional to 3,809.66, 5,715.16 and 1,177.13 is: 1,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.66 : 5,715.16 = 1,177.13 : x
  2. Step 2: Convert to fraction form
    3,809.66/5,715.16 = 1,177.13/x
  3. Step 3: Cross multiply
    3,809.66x = 5,715.16 × 1,177.13
  4. Step 4: Simplify right side
    3,809.66x = 6,727,497.64
  5. Step 5: Solve for x
    x = 6,727,497.64/3,809.66
  6. Step 6: Final answer
    x = 1,765.91

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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.