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Finding the Fourth Proportional to 3,780, 5,672.56 and 1,348

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Solution

The fourth proportional to 3,780, 5,672.56 and 1,348 is: 2,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,672.56 = 1,348 : x
  2. Step 2: Convert to fraction form
    3,780/5,672.56 = 1,348/x
  3. Step 3: Cross multiply
    3,780x = 5,672.56 × 1,348
  4. Step 4: Simplify right side
    3,780x = 7,646,610.88
  5. Step 5: Solve for x
    x = 7,646,610.88/3,780
  6. Step 6: Final answer
    x = 2,022.91

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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.