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Finding the Fourth Proportional to 5,047.85, 7,575.69 and 3,498.69

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Solution

The fourth proportional to 5,047.85, 7,575.69 and 3,498.69 is: 5,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.85 : 7,575.69 = 3,498.69 : x
  2. Step 2: Convert to fraction form
    5,047.85/7,575.69 = 3,498.69/x
  3. Step 3: Cross multiply
    5,047.85x = 7,575.69 × 3,498.69
  4. Step 4: Simplify right side
    5,047.85x = 26,504,990.85
  5. Step 5: Solve for x
    x = 26,504,990.85/5,047.85
  6. Step 6: Final answer
    x = 5,250.75

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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.