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Finding the Fourth Proportional to 6,270.41, 8,652.42 and 3,751.95

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Solution

The fourth proportional to 6,270.41, 8,652.42 and 3,751.95 is: 5,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.41 : 8,652.42 = 3,751.95 : x
  2. Step 2: Convert to fraction form
    6,270.41/8,652.42 = 3,751.95/x
  3. Step 3: Cross multiply
    6,270.41x = 8,652.42 × 3,751.95
  4. Step 4: Simplify right side
    6,270.41x = 32,463,479.67
  5. Step 5: Solve for x
    x = 32,463,479.67/6,270.41
  6. Step 6: Final answer
    x = 5,177.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.