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Finding the Fourth Proportional to 3,498.48, 4,826.34 and 2,006.10

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Solution

The fourth proportional to 3,498.48, 4,826.34 and 2,006.10 is: 2,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.48 : 4,826.34 = 2,006.10 : x
  2. Step 2: Convert to fraction form
    3,498.48/4,826.34 = 2,006.10/x
  3. Step 3: Cross multiply
    3,498.48x = 4,826.34 × 2,006.10
  4. Step 4: Simplify right side
    3,498.48x = 9,682,120.67
  5. Step 5: Solve for x
    x = 9,682,120.67/3,498.48
  6. Step 6: Final answer
    x = 2,767.52

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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.