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Finding the Fourth Proportional to 5,249.42, 7,870.22 and 2,287.31

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Solution

The fourth proportional to 5,249.42, 7,870.22 and 2,287.31 is: 3,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.42 : 7,870.22 = 2,287.31 : x
  2. Step 2: Convert to fraction form
    5,249.42/7,870.22 = 2,287.31/x
  3. Step 3: Cross multiply
    5,249.42x = 7,870.22 × 2,287.31
  4. Step 4: Simplify right side
    5,249.42x = 18,001,599.28
  5. Step 5: Solve for x
    x = 18,001,599.28/5,249.42
  6. Step 6: Final answer
    x = 3,429.25

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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.