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Finding the Fourth Proportional to 3,498.89, 4,827.92 and 2,241.07

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Solution

The fourth proportional to 3,498.89, 4,827.92 and 2,241.07 is: 3,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.89 : 4,827.92 = 2,241.07 : x
  2. Step 2: Convert to fraction form
    3,498.89/4,827.92 = 2,241.07/x
  3. Step 3: Cross multiply
    3,498.89x = 4,827.92 × 2,241.07
  4. Step 4: Simplify right side
    3,498.89x = 10,819,683.40
  5. Step 5: Solve for x
    x = 10,819,683.40/3,498.89
  6. Step 6: Final answer
    x = 3,092.32

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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.