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Finding the Fourth Proportional to 5,758.24, 8,632.38 and 2,293.24

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Solution

The fourth proportional to 5,758.24, 8,632.38 and 2,293.24 is: 3,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.24 : 8,632.38 = 2,293.24 : x
  2. Step 2: Convert to fraction form
    5,758.24/8,632.38 = 2,293.24/x
  3. Step 3: Cross multiply
    5,758.24x = 8,632.38 × 2,293.24
  4. Step 4: Simplify right side
    5,758.24x = 19,796,119.11
  5. Step 5: Solve for x
    x = 19,796,119.11/5,758.24
  6. Step 6: Final answer
    x = 3,437.88

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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.