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Finding the Fourth Proportional to 3,780.88, 5,672.25 and 1,315.73

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Solution

The fourth proportional to 3,780.88, 5,672.25 and 1,315.73 is: 1,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.88 : 5,672.25 = 1,315.73 : x
  2. Step 2: Convert to fraction form
    3,780.88/5,672.25 = 1,315.73/x
  3. Step 3: Cross multiply
    3,780.88x = 5,672.25 × 1,315.73
  4. Step 4: Simplify right side
    3,780.88x = 7,463,121.13
  5. Step 5: Solve for x
    x = 7,463,121.13/3,780.88
  6. Step 6: Final answer
    x = 1,973.91

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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.