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Finding the Fourth Proportional to 5,267.70, 7,871.40 and 4,600.80

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Solution

The fourth proportional to 5,267.70, 7,871.40 and 4,600.80 is: 6,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.70 : 7,871.40 = 4,600.80 : x
  2. Step 2: Convert to fraction form
    5,267.70/7,871.40 = 4,600.80/x
  3. Step 3: Cross multiply
    5,267.70x = 7,871.40 × 4,600.80
  4. Step 4: Simplify right side
    5,267.70x = 36,214,737.12
  5. Step 5: Solve for x
    x = 36,214,737.12/5,267.70
  6. Step 6: Final answer
    x = 6,874.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.