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Finding the Fourth Proportional to 5,770.14, 7,962.80 and 3,117.55

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Solution

The fourth proportional to 5,770.14, 7,962.80 and 3,117.55 is: 4,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.14 : 7,962.80 = 3,117.55 : x
  2. Step 2: Convert to fraction form
    5,770.14/7,962.80 = 3,117.55/x
  3. Step 3: Cross multiply
    5,770.14x = 7,962.80 × 3,117.55
  4. Step 4: Simplify right side
    5,770.14x = 24,824,371.74
  5. Step 5: Solve for x
    x = 24,824,371.74/5,770.14
  6. Step 6: Final answer
    x = 4,302.21

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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.