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Finding the Fourth Proportional to 3,498.24, 4,827.43 and 2,006.02

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Solution

The fourth proportional to 3,498.24, 4,827.43 and 2,006.02 is: 2,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.24 : 4,827.43 = 2,006.02 : x
  2. Step 2: Convert to fraction form
    3,498.24/4,827.43 = 2,006.02/x
  3. Step 3: Cross multiply
    3,498.24x = 4,827.43 × 2,006.02
  4. Step 4: Simplify right side
    3,498.24x = 9,683,921.13
  5. Step 5: Solve for x
    x = 9,683,921.13/3,498.24
  6. Step 6: Final answer
    x = 2,768.23

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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.