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Finding the Fourth Proportional to 3,765.02, 5,648.60 and 1,132.74

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Solution

The fourth proportional to 3,765.02, 5,648.60 and 1,132.74 is: 1,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.02 : 5,648.60 = 1,132.74 : x
  2. Step 2: Convert to fraction form
    3,765.02/5,648.60 = 1,132.74/x
  3. Step 3: Cross multiply
    3,765.02x = 5,648.60 × 1,132.74
  4. Step 4: Simplify right side
    3,765.02x = 6,398,395.16
  5. Step 5: Solve for x
    x = 6,398,395.16/3,765.02
  6. Step 6: Final answer
    x = 1,699.43

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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.