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Finding the Fourth Proportional to 5,655.90, 7,806.57 and 3,770.61

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Solution

The fourth proportional to 5,655.90, 7,806.57 and 3,770.61 is: 5,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.90 : 7,806.57 = 3,770.61 : x
  2. Step 2: Convert to fraction form
    5,655.90/7,806.57 = 3,770.61/x
  3. Step 3: Cross multiply
    5,655.90x = 7,806.57 × 3,770.61
  4. Step 4: Simplify right side
    5,655.90x = 29,435,530.91
  5. Step 5: Solve for x
    x = 29,435,530.91/5,655.90
  6. Step 6: Final answer
    x = 5,204.39

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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.