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Finding the Fourth Proportional to 4,978.80, 7,466.40 and 2,512.80

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Solution

The fourth proportional to 4,978.80, 7,466.40 and 2,512.80 is: 3,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.80 : 7,466.40 = 2,512.80 : x
  2. Step 2: Convert to fraction form
    4,978.80/7,466.40 = 2,512.80/x
  3. Step 3: Cross multiply
    4,978.80x = 7,466.40 × 2,512.80
  4. Step 4: Simplify right side
    4,978.80x = 18,761,569.92
  5. Step 5: Solve for x
    x = 18,761,569.92/4,978.80
  6. Step 6: Final answer
    x = 3,768.29

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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.