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Finding the Fourth Proportional to 5,269.70, 7,263.77 and 4,148.87

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Solution

The fourth proportional to 5,269.70, 7,263.77 and 4,148.87 is: 5,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.70 : 7,263.77 = 4,148.87 : x
  2. Step 2: Convert to fraction form
    5,269.70/7,263.77 = 4,148.87/x
  3. Step 3: Cross multiply
    5,269.70x = 7,263.77 × 4,148.87
  4. Step 4: Simplify right side
    5,269.70x = 30,136,380.38
  5. Step 5: Solve for x
    x = 30,136,380.38/5,269.70
  6. Step 6: Final answer
    x = 5,718.80

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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.