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Finding the Fourth Proportional to 5,200.40, 7,161.96 and 4,866.86

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Solution

The fourth proportional to 5,200.40, 7,161.96 and 4,866.86 is: 6,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.40 : 7,161.96 = 4,866.86 : x
  2. Step 2: Convert to fraction form
    5,200.40/7,161.96 = 4,866.86/x
  3. Step 3: Cross multiply
    5,200.40x = 7,161.96 × 4,866.86
  4. Step 4: Simplify right side
    5,200.40x = 34,856,256.65
  5. Step 5: Solve for x
    x = 34,856,256.65/5,200.40
  6. Step 6: Final answer
    x = 6,702.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.