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Finding the Fourth Proportional to 5,285.88, 7,922.82 and 4,107.12

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Solution

The fourth proportional to 5,285.88, 7,922.82 and 4,107.12 is: 6,156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.88 : 7,922.82 = 4,107.12 : x
  2. Step 2: Convert to fraction form
    5,285.88/7,922.82 = 4,107.12/x
  3. Step 3: Cross multiply
    5,285.88x = 7,922.82 × 4,107.12
  4. Step 4: Simplify right side
    5,285.88x = 32,539,972.48
  5. Step 5: Solve for x
    x = 32,539,972.48/5,285.88
  6. Step 6: Final answer
    x = 6,156.02

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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.