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Finding the Fourth Proportional to 6,449.38, 8,902.04 and 4,211.60

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Solution

The fourth proportional to 6,449.38, 8,902.04 and 4,211.60 is: 5,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.38 : 8,902.04 = 4,211.60 : x
  2. Step 2: Convert to fraction form
    6,449.38/8,902.04 = 4,211.60/x
  3. Step 3: Cross multiply
    6,449.38x = 8,902.04 × 4,211.60
  4. Step 4: Simplify right side
    6,449.38x = 37,491,831.66
  5. Step 5: Solve for x
    x = 37,491,831.66/6,449.38
  6. Step 6: Final answer
    x = 5,813.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.