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Finding the Fourth Proportional to 3,463.47, 4,781.19 and 2,206.25

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Solution

The fourth proportional to 3,463.47, 4,781.19 and 2,206.25 is: 3,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.47 : 4,781.19 = 2,206.25 : x
  2. Step 2: Convert to fraction form
    3,463.47/4,781.19 = 2,206.25/x
  3. Step 3: Cross multiply
    3,463.47x = 4,781.19 × 2,206.25
  4. Step 4: Simplify right side
    3,463.47x = 10,548,502.73
  5. Step 5: Solve for x
    x = 10,548,502.73/3,463.47
  6. Step 6: Final answer
    x = 3,045.65

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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.