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Finding the Fourth Proportional to 5,827.28, 8,046.38 and 4,750.72

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Solution

The fourth proportional to 5,827.28, 8,046.38 and 4,750.72 is: 6,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.28 : 8,046.38 = 4,750.72 : x
  2. Step 2: Convert to fraction form
    5,827.28/8,046.38 = 4,750.72/x
  3. Step 3: Cross multiply
    5,827.28x = 8,046.38 × 4,750.72
  4. Step 4: Simplify right side
    5,827.28x = 38,226,098.39
  5. Step 5: Solve for x
    x = 38,226,098.39/5,827.28
  6. Step 6: Final answer
    x = 6,559.85

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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.