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Finding the Fourth Proportional to 5,876.80, 8,813.52 and 4,228.48

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Solution

The fourth proportional to 5,876.80, 8,813.52 and 4,228.48 is: 6,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.80 : 8,813.52 = 4,228.48 : x
  2. Step 2: Convert to fraction form
    5,876.80/8,813.52 = 4,228.48/x
  3. Step 3: Cross multiply
    5,876.80x = 8,813.52 × 4,228.48
  4. Step 4: Simplify right side
    5,876.80x = 37,267,793.05
  5. Step 5: Solve for x
    x = 37,267,793.05/5,876.80
  6. Step 6: Final answer
    x = 6,341.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.