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Finding the Fourth Proportional to 5,293.78, 7,941.90 and 2,827.30

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Solution

The fourth proportional to 5,293.78, 7,941.90 and 2,827.30 is: 4,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.78 : 7,941.90 = 2,827.30 : x
  2. Step 2: Convert to fraction form
    5,293.78/7,941.90 = 2,827.30/x
  3. Step 3: Cross multiply
    5,293.78x = 7,941.90 × 2,827.30
  4. Step 4: Simplify right side
    5,293.78x = 22,454,133.87
  5. Step 5: Solve for x
    x = 22,454,133.87/5,293.78
  6. Step 6: Final answer
    x = 4,241.61

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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.