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Finding the Fourth Proportional to 3,498.68, 4,826.07 and 2,239.31

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Solution

The fourth proportional to 3,498.68, 4,826.07 and 2,239.31 is: 3,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.68 : 4,826.07 = 2,239.31 : x
  2. Step 2: Convert to fraction form
    3,498.68/4,826.07 = 2,239.31/x
  3. Step 3: Cross multiply
    3,498.68x = 4,826.07 × 2,239.31
  4. Step 4: Simplify right side
    3,498.68x = 10,807,078.88
  5. Step 5: Solve for x
    x = 10,807,078.88/3,498.68
  6. Step 6: Final answer
    x = 3,088.90

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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.