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Finding the Fourth Proportional to 5,604.26, 7,734.26 and 3,712.57

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Solution

The fourth proportional to 5,604.26, 7,734.26 and 3,712.57 is: 5,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.26 : 7,734.26 = 3,712.57 : x
  2. Step 2: Convert to fraction form
    5,604.26/7,734.26 = 3,712.57/x
  3. Step 3: Cross multiply
    5,604.26x = 7,734.26 × 3,712.57
  4. Step 4: Simplify right side
    5,604.26x = 28,714,000.60
  5. Step 5: Solve for x
    x = 28,714,000.60/5,604.26
  6. Step 6: Final answer
    x = 5,123.60

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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.