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Finding the Fourth Proportional to 5,773.34, 7,962.66 and 4,180.20

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Solution

The fourth proportional to 5,773.34, 7,962.66 and 4,180.20 is: 5,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.34 : 7,962.66 = 4,180.20 : x
  2. Step 2: Convert to fraction form
    5,773.34/7,962.66 = 4,180.20/x
  3. Step 3: Cross multiply
    5,773.34x = 7,962.66 × 4,180.20
  4. Step 4: Simplify right side
    5,773.34x = 33,285,511.33
  5. Step 5: Solve for x
    x = 33,285,511.33/5,773.34
  6. Step 6: Final answer
    x = 5,765.38

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1.5x scale

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.