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Finding the Fourth Proportional to 5,770.31, 7,963.03 and 3,117.72

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Solution

The fourth proportional to 5,770.31, 7,963.03 and 3,117.72 is: 4,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.31 : 7,963.03 = 3,117.72 : x
  2. Step 2: Convert to fraction form
    5,770.31/7,963.03 = 3,117.72/x
  3. Step 3: Cross multiply
    5,770.31x = 7,963.03 × 3,117.72
  4. Step 4: Simplify right side
    5,770.31x = 24,826,454.61
  5. Step 5: Solve for x
    x = 24,826,454.61/5,770.31
  6. Step 6: Final answer
    x = 4,302.45

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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.