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Finding the Fourth Proportional to 5,927.75, 8,892.87 and 2,032.46

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Solution

The fourth proportional to 5,927.75, 8,892.87 and 2,032.46 is: 3,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.75 : 8,892.87 = 2,032.46 : x
  2. Step 2: Convert to fraction form
    5,927.75/8,892.87 = 2,032.46/x
  3. Step 3: Cross multiply
    5,927.75x = 8,892.87 × 2,032.46
  4. Step 4: Simplify right side
    5,927.75x = 18,074,347.93
  5. Step 5: Solve for x
    x = 18,074,347.93/5,927.75
  6. Step 6: Final answer
    x = 3,049.11

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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.