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Finding the Fourth Proportional to 4,178.46, 6,268.55 and 1,713.23

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Solution

The fourth proportional to 4,178.46, 6,268.55 and 1,713.23 is: 2,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.46 : 6,268.55 = 1,713.23 : x
  2. Step 2: Convert to fraction form
    4,178.46/6,268.55 = 1,713.23/x
  3. Step 3: Cross multiply
    4,178.46x = 6,268.55 × 1,713.23
  4. Step 4: Simplify right side
    4,178.46x = 10,739,467.92
  5. Step 5: Solve for x
    x = 10,739,467.92/4,178.46
  6. Step 6: Final answer
    x = 2,570.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.