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Finding the Fourth Proportional to 3,780.46, 5,221.02 and 3,368.17

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Solution

The fourth proportional to 3,780.46, 5,221.02 and 3,368.17 is: 4,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.46 : 5,221.02 = 3,368.17 : x
  2. Step 2: Convert to fraction form
    3,780.46/5,221.02 = 3,368.17/x
  3. Step 3: Cross multiply
    3,780.46x = 5,221.02 × 3,368.17
  4. Step 4: Simplify right side
    3,780.46x = 17,585,282.93
  5. Step 5: Solve for x
    x = 17,585,282.93/3,780.46
  6. Step 6: Final answer
    x = 4,651.63

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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.