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Finding the Fourth Proportional to 6,348.74, 8,762.07 and 3,832.26

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Solution

The fourth proportional to 6,348.74, 8,762.07 and 3,832.26 is: 5,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.74 : 8,762.07 = 3,832.26 : x
  2. Step 2: Convert to fraction form
    6,348.74/8,762.07 = 3,832.26/x
  3. Step 3: Cross multiply
    6,348.74x = 8,762.07 × 3,832.26
  4. Step 4: Simplify right side
    6,348.74x = 33,578,530.38
  5. Step 5: Solve for x
    x = 33,578,530.38/6,348.74
  6. Step 6: Final answer
    x = 5,289.01

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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.