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Finding the Fourth Proportional to 6,133.75, 8,464.58 and 3,649.75

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Solution

The fourth proportional to 6,133.75, 8,464.58 and 3,649.75 is: 5,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.75 : 8,464.58 = 3,649.75 : x
  2. Step 2: Convert to fraction form
    6,133.75/8,464.58 = 3,649.75/x
  3. Step 3: Cross multiply
    6,133.75x = 8,464.58 × 3,649.75
  4. Step 4: Simplify right side
    6,133.75x = 30,893,600.86
  5. Step 5: Solve for x
    x = 30,893,600.86/6,133.75
  6. Step 6: Final answer
    x = 5,036.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.