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Finding the Fourth Proportional to 6,343.48, 8,751.08 and 4,106.08

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Solution

The fourth proportional to 6,343.48, 8,751.08 and 4,106.08 is: 5,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.48 : 8,751.08 = 4,106.08 : x
  2. Step 2: Convert to fraction form
    6,343.48/8,751.08 = 4,106.08/x
  3. Step 3: Cross multiply
    6,343.48x = 8,751.08 × 4,106.08
  4. Step 4: Simplify right side
    6,343.48x = 35,932,583.45
  5. Step 5: Solve for x
    x = 35,932,583.45/6,343.48
  6. Step 6: Final answer
    x = 5,664.49

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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.