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Finding the Fourth Proportional to 4,178.88, 6,268.43 and 1,405.65

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Solution

The fourth proportional to 4,178.88, 6,268.43 and 1,405.65 is: 2,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.88 : 6,268.43 = 1,405.65 : x
  2. Step 2: Convert to fraction form
    4,178.88/6,268.43 = 1,405.65/x
  3. Step 3: Cross multiply
    4,178.88x = 6,268.43 × 1,405.65
  4. Step 4: Simplify right side
    4,178.88x = 8,811,218.63
  5. Step 5: Solve for x
    x = 8,811,218.63/4,178.88
  6. Step 6: Final answer
    x = 2,108.51

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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.