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Finding the Fourth Proportional to 6,844.38, 9,445.26 and 3,700.58

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Solution

The fourth proportional to 6,844.38, 9,445.26 and 3,700.58 is: 5,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.38 : 9,445.26 = 3,700.58 : x
  2. Step 2: Convert to fraction form
    6,844.38/9,445.26 = 3,700.58/x
  3. Step 3: Cross multiply
    6,844.38x = 9,445.26 × 3,700.58
  4. Step 4: Simplify right side
    6,844.38x = 34,952,940.25
  5. Step 5: Solve for x
    x = 34,952,940.25/6,844.38
  6. Step 6: Final answer
    x = 5,106.81

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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.