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Finding the Fourth Proportional to 3,429.60, 5,141.40 and 2,330.40

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Solution

The fourth proportional to 3,429.60, 5,141.40 and 2,330.40 is: 3,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.60 : 5,141.40 = 2,330.40 : x
  2. Step 2: Convert to fraction form
    3,429.60/5,141.40 = 2,330.40/x
  3. Step 3: Cross multiply
    3,429.60x = 5,141.40 × 2,330.40
  4. Step 4: Simplify right side
    3,429.60x = 11,981,518.56
  5. Step 5: Solve for x
    x = 11,981,518.56/3,429.60
  6. Step 6: Final answer
    x = 3,493.56

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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.