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Finding the Fourth Proportional to 4,546.60, 6,823.28 and 3,379.32

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Solution

The fourth proportional to 4,546.60, 6,823.28 and 3,379.32 is: 5,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.60 : 6,823.28 = 3,379.32 : x
  2. Step 2: Convert to fraction form
    4,546.60/6,823.28 = 3,379.32/x
  3. Step 3: Cross multiply
    4,546.60x = 6,823.28 × 3,379.32
  4. Step 4: Simplify right side
    4,546.60x = 23,058,046.57
  5. Step 5: Solve for x
    x = 23,058,046.57/4,546.60
  6. Step 6: Final answer
    x = 5,071.49

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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.