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Finding the Fourth Proportional to 3,773.67, 5,661.32 and 1,141.38

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Solution

The fourth proportional to 3,773.67, 5,661.32 and 1,141.38 is: 1,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.67 : 5,661.32 = 1,141.38 : x
  2. Step 2: Convert to fraction form
    3,773.67/5,661.32 = 1,141.38/x
  3. Step 3: Cross multiply
    3,773.67x = 5,661.32 × 1,141.38
  4. Step 4: Simplify right side
    3,773.67x = 6,461,711.71
  5. Step 5: Solve for x
    x = 6,461,711.71/3,773.67
  6. Step 6: Final answer
    x = 1,712.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.