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Finding the Fourth Proportional to 6,268.75, 8,648.49 and 4,145.29

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Solution

The fourth proportional to 6,268.75, 8,648.49 and 4,145.29 is: 5,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.75 : 8,648.49 = 4,145.29 : x
  2. Step 2: Convert to fraction form
    6,268.75/8,648.49 = 4,145.29/x
  3. Step 3: Cross multiply
    6,268.75x = 8,648.49 × 4,145.29
  4. Step 4: Simplify right side
    6,268.75x = 35,850,499.11
  5. Step 5: Solve for x
    x = 35,850,499.11/6,268.75
  6. Step 6: Final answer
    x = 5,718.92

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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.