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Finding the Fourth Proportional to 5,793, 8,681.34 and 2,503.56

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Solution

The fourth proportional to 5,793, 8,681.34 and 2,503.56 is: 3,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793 : 8,681.34 = 2,503.56 : x
  2. Step 2: Convert to fraction form
    5,793/8,681.34 = 2,503.56/x
  3. Step 3: Cross multiply
    5,793x = 8,681.34 × 2,503.56
  4. Step 4: Simplify right side
    5,793x = 21,734,255.57
  5. Step 5: Solve for x
    x = 21,734,255.57/5,793
  6. Step 6: Final answer
    x = 3,751.81

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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.