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Finding the Fourth Proportional to 5,801.12, 7,992.24 and 4,760

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Solution

The fourth proportional to 5,801.12, 7,992.24 and 4,760 is: 6,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.12 : 7,992.24 = 4,760 : x
  2. Step 2: Convert to fraction form
    5,801.12/7,992.24 = 4,760/x
  3. Step 3: Cross multiply
    5,801.12x = 7,992.24 × 4,760
  4. Step 4: Simplify right side
    5,801.12x = 38,043,062.40
  5. Step 5: Solve for x
    x = 38,043,062.40/5,801.12
  6. Step 6: Final answer
    x = 6,557.88

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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.