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Finding the Fourth Proportional to 5,640.35, 8,461.13 and 2,351.61

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Solution

The fourth proportional to 5,640.35, 8,461.13 and 2,351.61 is: 3,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.35 : 8,461.13 = 2,351.61 : x
  2. Step 2: Convert to fraction form
    5,640.35/8,461.13 = 2,351.61/x
  3. Step 3: Cross multiply
    5,640.35x = 8,461.13 × 2,351.61
  4. Step 4: Simplify right side
    5,640.35x = 19,897,266.16
  5. Step 5: Solve for x
    x = 19,897,266.16/5,640.35
  6. Step 6: Final answer
    x = 3,527.67

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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.