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Finding the Fourth Proportional to 5,707.24, 8,562.06 and 3,243.20

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Solution

The fourth proportional to 5,707.24, 8,562.06 and 3,243.20 is: 4,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.24 : 8,562.06 = 3,243.20 : x
  2. Step 2: Convert to fraction form
    5,707.24/8,562.06 = 3,243.20/x
  3. Step 3: Cross multiply
    5,707.24x = 8,562.06 × 3,243.20
  4. Step 4: Simplify right side
    5,707.24x = 27,768,472.99
  5. Step 5: Solve for x
    x = 27,768,472.99/5,707.24
  6. Step 6: Final answer
    x = 4,865.48

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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.