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Finding the Fourth Proportional to 3,792.98, 5,691.11 and 1,329.54

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Solution

The fourth proportional to 3,792.98, 5,691.11 and 1,329.54 is: 1,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.98 : 5,691.11 = 1,329.54 : x
  2. Step 2: Convert to fraction form
    3,792.98/5,691.11 = 1,329.54/x
  3. Step 3: Cross multiply
    3,792.98x = 5,691.11 × 1,329.54
  4. Step 4: Simplify right side
    3,792.98x = 7,566,551.74
  5. Step 5: Solve for x
    x = 7,566,551.74/3,792.98
  6. Step 6: Final answer
    x = 1,994.89

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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.