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Finding the Fourth Proportional to 3,498.49, 4,826.49 and 2,239.14

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Solution

The fourth proportional to 3,498.49, 4,826.49 and 2,239.14 is: 3,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.49 : 4,826.49 = 2,239.14 : x
  2. Step 2: Convert to fraction form
    3,498.49/4,826.49 = 2,239.14/x
  3. Step 3: Cross multiply
    3,498.49x = 4,826.49 × 2,239.14
  4. Step 4: Simplify right side
    3,498.49x = 10,807,196.52
  5. Step 5: Solve for x
    x = 10,807,196.52/3,498.49
  6. Step 6: Final answer
    x = 3,089.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.