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Finding the Fourth Proportional to 3,773.69, 5,689.48 and 3,519.59

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Solution

The fourth proportional to 3,773.69, 5,689.48 and 3,519.59 is: 5,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.69 : 5,689.48 = 3,519.59 : x
  2. Step 2: Convert to fraction form
    3,773.69/5,689.48 = 3,519.59/x
  3. Step 3: Cross multiply
    3,773.69x = 5,689.48 × 3,519.59
  4. Step 4: Simplify right side
    3,773.69x = 20,024,636.91
  5. Step 5: Solve for x
    x = 20,024,636.91/3,773.69
  6. Step 6: Final answer
    x = 5,306.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.