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Finding the Fourth Proportional to 3,919.18, 5,869.50 and 3,403.42

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Solution

The fourth proportional to 3,919.18, 5,869.50 and 3,403.42 is: 5,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.18 : 5,869.50 = 3,403.42 : x
  2. Step 2: Convert to fraction form
    3,919.18/5,869.50 = 3,403.42/x
  3. Step 3: Cross multiply
    3,919.18x = 5,869.50 × 3,403.42
  4. Step 4: Simplify right side
    3,919.18x = 19,976,373.69
  5. Step 5: Solve for x
    x = 19,976,373.69/3,919.18
  6. Step 6: Final answer
    x = 5,097.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.