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Finding the Fourth Proportional to 6,859.52, 10,280.06 and 3,734.85

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Solution

The fourth proportional to 6,859.52, 10,280.06 and 3,734.85 is: 5,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.52 : 10,280.06 = 3,734.85 : x
  2. Step 2: Convert to fraction form
    6,859.52/10,280.06 = 3,734.85/x
  3. Step 3: Cross multiply
    6,859.52x = 10,280.06 × 3,734.85
  4. Step 4: Simplify right side
    6,859.52x = 38,394,482.09
  5. Step 5: Solve for x
    x = 38,394,482.09/6,859.52
  6. Step 6: Final answer
    x = 5,597.25

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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.