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Finding the Fourth Proportional to 5,466.78, 7,544.10 and 2,982.78

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Solution

The fourth proportional to 5,466.78, 7,544.10 and 2,982.78 is: 4,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.78 : 7,544.10 = 2,982.78 : x
  2. Step 2: Convert to fraction form
    5,466.78/7,544.10 = 2,982.78/x
  3. Step 3: Cross multiply
    5,466.78x = 7,544.10 × 2,982.78
  4. Step 4: Simplify right side
    5,466.78x = 22,502,390.60
  5. Step 5: Solve for x
    x = 22,502,390.60/5,466.78
  6. Step 6: Final answer
    x = 4,116.21

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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.