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Finding the Fourth Proportional to 3,454.74, 5,178.84 and 1,812.42

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Solution

The fourth proportional to 3,454.74, 5,178.84 and 1,812.42 is: 2,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.74 : 5,178.84 = 1,812.42 : x
  2. Step 2: Convert to fraction form
    3,454.74/5,178.84 = 1,812.42/x
  3. Step 3: Cross multiply
    3,454.74x = 5,178.84 × 1,812.42
  4. Step 4: Simplify right side
    3,454.74x = 9,386,233.19
  5. Step 5: Solve for x
    x = 9,386,233.19/3,454.74
  6. Step 6: Final answer
    x = 2,716.91

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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.