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Finding the Fourth Proportional to 3,378.80, 5,066.04 and 1,429.04

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Solution

The fourth proportional to 3,378.80, 5,066.04 and 1,429.04 is: 2,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.80 : 5,066.04 = 1,429.04 : x
  2. Step 2: Convert to fraction form
    3,378.80/5,066.04 = 1,429.04/x
  3. Step 3: Cross multiply
    3,378.80x = 5,066.04 × 1,429.04
  4. Step 4: Simplify right side
    3,378.80x = 7,239,573.80
  5. Step 5: Solve for x
    x = 7,239,573.80/3,378.80
  6. Step 6: Final answer
    x = 2,142.65

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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.