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Finding the Fourth Proportional to 3,425.90, 4,727.97 and 2,099.25

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Solution

The fourth proportional to 3,425.90, 4,727.97 and 2,099.25 is: 2,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.90 : 4,727.97 = 2,099.25 : x
  2. Step 2: Convert to fraction form
    3,425.90/4,727.97 = 2,099.25/x
  3. Step 3: Cross multiply
    3,425.90x = 4,727.97 × 2,099.25
  4. Step 4: Simplify right side
    3,425.90x = 9,925,191.02
  5. Step 5: Solve for x
    x = 9,925,191.02/3,425.90
  6. Step 6: Final answer
    x = 2,897.11

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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.