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Finding the Fourth Proportional to 3,780.70, 5,670.40 and 2,681.72

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Solution

The fourth proportional to 3,780.70, 5,670.40 and 2,681.72 is: 4,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.70 : 5,670.40 = 2,681.72 : x
  2. Step 2: Convert to fraction form
    3,780.70/5,670.40 = 2,681.72/x
  3. Step 3: Cross multiply
    3,780.70x = 5,670.40 × 2,681.72
  4. Step 4: Simplify right side
    3,780.70x = 15,206,425.09
  5. Step 5: Solve for x
    x = 15,206,425.09/3,780.70
  6. Step 6: Final answer
    x = 4,022.12

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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.