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Finding the Fourth Proportional to 3,780.67, 5,216.76 and 2,102.08

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Solution

The fourth proportional to 3,780.67, 5,216.76 and 2,102.08 is: 2,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.67 : 5,216.76 = 2,102.08 : x
  2. Step 2: Convert to fraction form
    3,780.67/5,216.76 = 2,102.08/x
  3. Step 3: Cross multiply
    3,780.67x = 5,216.76 × 2,102.08
  4. Step 4: Simplify right side
    3,780.67x = 10,966,046.86
  5. Step 5: Solve for x
    x = 10,966,046.86/3,780.67
  6. Step 6: Final answer
    x = 2,900.56

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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.