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Finding the Fourth Proportional to 5,640.48, 8,462.88 and 2,180.16

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Solution

The fourth proportional to 5,640.48, 8,462.88 and 2,180.16 is: 3,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.48 : 8,462.88 = 2,180.16 : x
  2. Step 2: Convert to fraction form
    5,640.48/8,462.88 = 2,180.16/x
  3. Step 3: Cross multiply
    5,640.48x = 8,462.88 × 2,180.16
  4. Step 4: Simplify right side
    5,640.48x = 18,450,432.46
  5. Step 5: Solve for x
    x = 18,450,432.46/5,640.48
  6. Step 6: Final answer
    x = 3,271.07

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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.