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Finding the Fourth Proportional to 3,780.60, 5,671.17 and 1,315.11

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Solution

The fourth proportional to 3,780.60, 5,671.17 and 1,315.11 is: 1,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.60 : 5,671.17 = 1,315.11 : x
  2. Step 2: Convert to fraction form
    3,780.60/5,671.17 = 1,315.11/x
  3. Step 3: Cross multiply
    3,780.60x = 5,671.17 × 1,315.11
  4. Step 4: Simplify right side
    3,780.60x = 7,458,212.38
  5. Step 5: Solve for x
    x = 7,458,212.38/3,780.60
  6. Step 6: Final answer
    x = 1,972.76

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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.