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Finding the Fourth Proportional to 5,640.17, 8,461.13 and 2,353.46

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Solution

The fourth proportional to 5,640.17, 8,461.13 and 2,353.46 is: 3,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.17 : 8,461.13 = 2,353.46 : x
  2. Step 2: Convert to fraction form
    5,640.17/8,461.13 = 2,353.46/x
  3. Step 3: Cross multiply
    5,640.17x = 8,461.13 × 2,353.46
  4. Step 4: Simplify right side
    5,640.17x = 19,912,876.94
  5. Step 5: Solve for x
    x = 19,912,876.94/5,640.17
  6. Step 6: Final answer
    x = 3,530.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.