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Finding the Fourth Proportional to 5,661.24, 8,491.56 and 1,765.20

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Solution

The fourth proportional to 5,661.24, 8,491.56 and 1,765.20 is: 2,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.24 : 8,491.56 = 1,765.20 : x
  2. Step 2: Convert to fraction form
    5,661.24/8,491.56 = 1,765.20/x
  3. Step 3: Cross multiply
    5,661.24x = 8,491.56 × 1,765.20
  4. Step 4: Simplify right side
    5,661.24x = 14,989,301.71
  5. Step 5: Solve for x
    x = 14,989,301.71/5,661.24
  6. Step 6: Final answer
    x = 2,647.71

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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.