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Finding the Fourth Proportional to 3,773.39, 5,661.06 and 1,140.85

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Solution

The fourth proportional to 3,773.39, 5,661.06 and 1,140.85 is: 1,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.39 : 5,661.06 = 1,140.85 : x
  2. Step 2: Convert to fraction form
    3,773.39/5,661.06 = 1,140.85/x
  3. Step 3: Cross multiply
    3,773.39x = 5,661.06 × 1,140.85
  4. Step 4: Simplify right side
    3,773.39x = 6,458,423.10
  5. Step 5: Solve for x
    x = 6,458,423.10/3,773.39
  6. Step 6: Final answer
    x = 1,711.57

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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.