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Finding the Fourth Proportional to 4,287.46, 6,431.13 and 1,690.42

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Solution

The fourth proportional to 4,287.46, 6,431.13 and 1,690.42 is: 2,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.46 : 6,431.13 = 1,690.42 : x
  2. Step 2: Convert to fraction form
    4,287.46/6,431.13 = 1,690.42/x
  3. Step 3: Cross multiply
    4,287.46x = 6,431.13 × 1,690.42
  4. Step 4: Simplify right side
    4,287.46x = 10,871,310.77
  5. Step 5: Solve for x
    x = 10,871,310.77/4,287.46
  6. Step 6: Final answer
    x = 2,535.61

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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.