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Finding the Fourth Proportional to 5,575.70, 7,695.48 and 3,806.66

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Solution

The fourth proportional to 5,575.70, 7,695.48 and 3,806.66 is: 5,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.70 : 7,695.48 = 3,806.66 : x
  2. Step 2: Convert to fraction form
    5,575.70/7,695.48 = 3,806.66/x
  3. Step 3: Cross multiply
    5,575.70x = 7,695.48 × 3,806.66
  4. Step 4: Simplify right side
    5,575.70x = 29,294,075.90
  5. Step 5: Solve for x
    x = 29,294,075.90/5,575.70
  6. Step 6: Final answer
    x = 5,253.88

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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.