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Finding the Fourth Proportional to 3,873.19, 5,807.97 and 1,406.29

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Solution

The fourth proportional to 3,873.19, 5,807.97 and 1,406.29 is: 2,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.19 : 5,807.97 = 1,406.29 : x
  2. Step 2: Convert to fraction form
    3,873.19/5,807.97 = 1,406.29/x
  3. Step 3: Cross multiply
    3,873.19x = 5,807.97 × 1,406.29
  4. Step 4: Simplify right side
    3,873.19x = 8,167,690.13
  5. Step 5: Solve for x
    x = 8,167,690.13/3,873.19
  6. Step 6: Final answer
    x = 2,108.78

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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.