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Finding the Fourth Proportional to 3,517.85, 4,853.82 and 2,101.99

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Solution

The fourth proportional to 3,517.85, 4,853.82 and 2,101.99 is: 2,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.85 : 4,853.82 = 2,101.99 : x
  2. Step 2: Convert to fraction form
    3,517.85/4,853.82 = 2,101.99/x
  3. Step 3: Cross multiply
    3,517.85x = 4,853.82 × 2,101.99
  4. Step 4: Simplify right side
    3,517.85x = 10,202,681.10
  5. Step 5: Solve for x
    x = 10,202,681.10/3,517.85
  6. Step 6: Final answer
    x = 2,900.26

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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.