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Finding the Fourth Proportional to 3,518.49, 4,855.49 and 2,102.10

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Solution

The fourth proportional to 3,518.49, 4,855.49 and 2,102.10 is: 2,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.49 : 4,855.49 = 2,102.10 : x
  2. Step 2: Convert to fraction form
    3,518.49/4,855.49 = 2,102.10/x
  3. Step 3: Cross multiply
    3,518.49x = 4,855.49 × 2,102.10
  4. Step 4: Simplify right side
    3,518.49x = 10,206,715.02
  5. Step 5: Solve for x
    x = 10,206,715.02/3,518.49
  6. Step 6: Final answer
    x = 2,900.88

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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.