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Finding the Fourth Proportional to 3,780.75, 5,671.17 and 1,044.75

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Solution

The fourth proportional to 3,780.75, 5,671.17 and 1,044.75 is: 1,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.75 : 5,671.17 = 1,044.75 : x
  2. Step 2: Convert to fraction form
    3,780.75/5,671.17 = 1,044.75/x
  3. Step 3: Cross multiply
    3,780.75x = 5,671.17 × 1,044.75
  4. Step 4: Simplify right side
    3,780.75x = 5,924,954.86
  5. Step 5: Solve for x
    x = 5,924,954.86/3,780.75
  6. Step 6: Final answer
    x = 1,567.14

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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.