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Finding the Fourth Proportional to 6,035.64, 8,321.38 and 3,907.38

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Solution

The fourth proportional to 6,035.64, 8,321.38 and 3,907.38 is: 5,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035.64 : 8,321.38 = 3,907.38 : x
  2. Step 2: Convert to fraction form
    6,035.64/8,321.38 = 3,907.38/x
  3. Step 3: Cross multiply
    6,035.64x = 8,321.38 × 3,907.38
  4. Step 4: Simplify right side
    6,035.64x = 32,514,793.78
  5. Step 5: Solve for x
    x = 32,514,793.78/6,035.64
  6. Step 6: Final answer
    x = 5,387.13

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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.