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Finding the Fourth Proportional to 3,888.12, 5,833.62 and 1,809.24

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Solution

The fourth proportional to 3,888.12, 5,833.62 and 1,809.24 is: 2,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.12 : 5,833.62 = 1,809.24 : x
  2. Step 2: Convert to fraction form
    3,888.12/5,833.62 = 1,809.24/x
  3. Step 3: Cross multiply
    3,888.12x = 5,833.62 × 1,809.24
  4. Step 4: Simplify right side
    3,888.12x = 10,554,418.65
  5. Step 5: Solve for x
    x = 10,554,418.65/3,888.12
  6. Step 6: Final answer
    x = 2,714.53

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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.