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Finding the Fourth Proportional to 3,498.23, 4,827.41 and 2,006.06

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Solution

The fourth proportional to 3,498.23, 4,827.41 and 2,006.06 is: 2,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.23 : 4,827.41 = 2,006.06 : x
  2. Step 2: Convert to fraction form
    3,498.23/4,827.41 = 2,006.06/x
  3. Step 3: Cross multiply
    3,498.23x = 4,827.41 × 2,006.06
  4. Step 4: Simplify right side
    3,498.23x = 9,684,039.94
  5. Step 5: Solve for x
    x = 9,684,039.94/3,498.23
  6. Step 6: Final answer
    x = 2,768.27

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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.