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Finding the Fourth Proportional to 4,147.76, 5,723.70 and 2,575.82

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Solution

The fourth proportional to 4,147.76, 5,723.70 and 2,575.82 is: 3,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.76 : 5,723.70 = 2,575.82 : x
  2. Step 2: Convert to fraction form
    4,147.76/5,723.70 = 2,575.82/x
  3. Step 3: Cross multiply
    4,147.76x = 5,723.70 × 2,575.82
  4. Step 4: Simplify right side
    4,147.76x = 14,743,220.93
  5. Step 5: Solve for x
    x = 14,743,220.93/4,147.76
  6. Step 6: Final answer
    x = 3,554.50

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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.