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Finding the Fourth Proportional to 6,268.42, 8,649.80 and 3,750.02

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Solution

The fourth proportional to 6,268.42, 8,649.80 and 3,750.02 is: 5,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.42 : 8,649.80 = 3,750.02 : x
  2. Step 2: Convert to fraction form
    6,268.42/8,649.80 = 3,750.02/x
  3. Step 3: Cross multiply
    6,268.42x = 8,649.80 × 3,750.02
  4. Step 4: Simplify right side
    6,268.42x = 32,436,879.75
  5. Step 5: Solve for x
    x = 32,436,879.75/6,268.42
  6. Step 6: Final answer
    x = 5,174.65

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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.