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Finding the Fourth Proportional to 5,734.85, 8,603.19 and 2,813.40

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Solution

The fourth proportional to 5,734.85, 8,603.19 and 2,813.40 is: 4,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.85 : 8,603.19 = 2,813.40 : x
  2. Step 2: Convert to fraction form
    5,734.85/8,603.19 = 2,813.40/x
  3. Step 3: Cross multiply
    5,734.85x = 8,603.19 × 2,813.40
  4. Step 4: Simplify right side
    5,734.85x = 24,204,214.75
  5. Step 5: Solve for x
    x = 24,204,214.75/5,734.85
  6. Step 6: Final answer
    x = 4,220.55

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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.