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Finding the Fourth Proportional to 5,785.92, 7,997.69 and 5,326.65

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Solution

The fourth proportional to 5,785.92, 7,997.69 and 5,326.65 is: 7,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.92 : 7,997.69 = 5,326.65 : x
  2. Step 2: Convert to fraction form
    5,785.92/7,997.69 = 5,326.65/x
  3. Step 3: Cross multiply
    5,785.92x = 7,997.69 × 5,326.65
  4. Step 4: Simplify right side
    5,785.92x = 42,600,868.81
  5. Step 5: Solve for x
    x = 42,600,868.81/5,785.92
  6. Step 6: Final answer
    x = 7,362.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.