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Finding the Fourth Proportional to 3,661.24, 5,491.53 and 1,028.53

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Solution

The fourth proportional to 3,661.24, 5,491.53 and 1,028.53 is: 1,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.24 : 5,491.53 = 1,028.53 : x
  2. Step 2: Convert to fraction form
    3,661.24/5,491.53 = 1,028.53/x
  3. Step 3: Cross multiply
    3,661.24x = 5,491.53 × 1,028.53
  4. Step 4: Simplify right side
    3,661.24x = 5,648,203.35
  5. Step 5: Solve for x
    x = 5,648,203.35/3,661.24
  6. Step 6: Final answer
    x = 1,542.70

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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.