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Finding the Fourth Proportional to 5,475.88, 8,213.82 and 4,652.20

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Solution

The fourth proportional to 5,475.88, 8,213.82 and 4,652.20 is: 6,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.88 : 8,213.82 = 4,652.20 : x
  2. Step 2: Convert to fraction form
    5,475.88/8,213.82 = 4,652.20/x
  3. Step 3: Cross multiply
    5,475.88x = 8,213.82 × 4,652.20
  4. Step 4: Simplify right side
    5,475.88x = 38,212,333.40
  5. Step 5: Solve for x
    x = 38,212,333.40/5,475.88
  6. Step 6: Final answer
    x = 6,978.30

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1.5x scale

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.