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Finding the Fourth Proportional to 3,503.25, 4,834.49 and 2,106

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Solution

The fourth proportional to 3,503.25, 4,834.49 and 2,106 is: 2,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.25 : 4,834.49 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,503.25/4,834.49 = 2,106/x
  3. Step 3: Cross multiply
    3,503.25x = 4,834.49 × 2,106
  4. Step 4: Simplify right side
    3,503.25x = 10,181,425.41
  5. Step 5: Solve for x
    x = 10,181,425.41/3,503.25
  6. Step 6: Final answer
    x = 2,906.28

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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.