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Finding the Fourth Proportional to 3,899.16, 5,844.96 and 1,706.22

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Solution

The fourth proportional to 3,899.16, 5,844.96 and 1,706.22 is: 2,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.16 : 5,844.96 = 1,706.22 : x
  2. Step 2: Convert to fraction form
    3,899.16/5,844.96 = 1,706.22/x
  3. Step 3: Cross multiply
    3,899.16x = 5,844.96 × 1,706.22
  4. Step 4: Simplify right side
    3,899.16x = 9,972,787.65
  5. Step 5: Solve for x
    x = 9,972,787.65/3,899.16
  6. Step 6: Final answer
    x = 2,557.68

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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.