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Finding the Fourth Proportional to 3,780.54, 5,217.17 and 2,102.13

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Solution

The fourth proportional to 3,780.54, 5,217.17 and 2,102.13 is: 2,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.54 : 5,217.17 = 2,102.13 : x
  2. Step 2: Convert to fraction form
    3,780.54/5,217.17 = 2,102.13/x
  3. Step 3: Cross multiply
    3,780.54x = 5,217.17 × 2,102.13
  4. Step 4: Simplify right side
    3,780.54x = 10,967,159.06
  5. Step 5: Solve for x
    x = 10,967,159.06/3,780.54
  6. Step 6: Final answer
    x = 2,900.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.