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Finding the Fourth Proportional to 5,865.46, 8,806.97 and 5,077.27

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Solution

The fourth proportional to 5,865.46, 8,806.97 and 5,077.27 is: 7,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.46 : 8,806.97 = 5,077.27 : x
  2. Step 2: Convert to fraction form
    5,865.46/8,806.97 = 5,077.27/x
  3. Step 3: Cross multiply
    5,865.46x = 8,806.97 × 5,077.27
  4. Step 4: Simplify right side
    5,865.46x = 44,715,360.52
  5. Step 5: Solve for x
    x = 44,715,360.52/5,865.46
  6. Step 6: Final answer
    x = 7,623.50

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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.