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Finding the Fourth Proportional to 6,152.70, 9,230.40 and 3,034.20

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Solution

The fourth proportional to 6,152.70, 9,230.40 and 3,034.20 is: 4,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.70 : 9,230.40 = 3,034.20 : x
  2. Step 2: Convert to fraction form
    6,152.70/9,230.40 = 3,034.20/x
  3. Step 3: Cross multiply
    6,152.70x = 9,230.40 × 3,034.20
  4. Step 4: Simplify right side
    6,152.70x = 28,006,879.68
  5. Step 5: Solve for x
    x = 28,006,879.68/6,152.70
  6. Step 6: Final answer
    x = 4,551.97

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Why These Related Problems?

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