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Finding the Fourth Proportional to 5,770.25, 7,962.95 and 3,117.66

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Solution

The fourth proportional to 5,770.25, 7,962.95 and 3,117.66 is: 4,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.25 : 7,962.95 = 3,117.66 : x
  2. Step 2: Convert to fraction form
    5,770.25/7,962.95 = 3,117.66/x
  3. Step 3: Cross multiply
    5,770.25x = 7,962.95 × 3,117.66
  4. Step 4: Simplify right side
    5,770.25x = 24,825,778.49
  5. Step 5: Solve for x
    x = 24,825,778.49/5,770.25
  6. Step 6: Final answer
    x = 4,302.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.