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Finding the Fourth Proportional to 5,229.49, 7,837.10 and 2,886

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Solution

The fourth proportional to 5,229.49, 7,837.10 and 2,886 is: 4,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.49 : 7,837.10 = 2,886 : x
  2. Step 2: Convert to fraction form
    5,229.49/7,837.10 = 2,886/x
  3. Step 3: Cross multiply
    5,229.49x = 7,837.10 × 2,886
  4. Step 4: Simplify right side
    5,229.49x = 22,617,883.23
  5. Step 5: Solve for x
    x = 22,617,883.23/5,229.49
  6. Step 6: Final answer
    x = 4,325.07

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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.