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Finding the Fourth Proportional to 5,604.26, 7,734.80 and 4,275.45

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Solution

The fourth proportional to 5,604.26, 7,734.80 and 4,275.45 is: 5,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.26 : 7,734.80 = 4,275.45 : x
  2. Step 2: Convert to fraction form
    5,604.26/7,734.80 = 4,275.45/x
  3. Step 3: Cross multiply
    5,604.26x = 7,734.80 × 4,275.45
  4. Step 4: Simplify right side
    5,604.26x = 33,069,770.00
  5. Step 5: Solve for x
    x = 33,069,770.00/5,604.26
  6. Step 6: Final answer
    x = 5,900.83

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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.