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Finding the Fourth Proportional to 3,646.11, 5,019.47 and 3,478.73

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Solution

The fourth proportional to 3,646.11, 5,019.47 and 3,478.73 is: 4,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.11 : 5,019.47 = 3,478.73 : x
  2. Step 2: Convert to fraction form
    3,646.11/5,019.47 = 3,478.73/x
  3. Step 3: Cross multiply
    3,646.11x = 5,019.47 × 3,478.73
  4. Step 4: Simplify right side
    3,646.11x = 17,461,380.87
  5. Step 5: Solve for x
    x = 17,461,380.87/3,646.11
  6. Step 6: Final answer
    x = 4,789.04

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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.