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Finding the Fourth Proportional to 5,360.40, 8,046.04 and 3,902.40

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Solution

The fourth proportional to 5,360.40, 8,046.04 and 3,902.40 is: 5,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.40 : 8,046.04 = 3,902.40 : x
  2. Step 2: Convert to fraction form
    5,360.40/8,046.04 = 3,902.40/x
  3. Step 3: Cross multiply
    5,360.40x = 8,046.04 × 3,902.40
  4. Step 4: Simplify right side
    5,360.40x = 31,398,866.50
  5. Step 5: Solve for x
    x = 31,398,866.50/5,360.40
  6. Step 6: Final answer
    x = 5,857.56

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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.