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Finding the Fourth Proportional to 3,674.30, 5,071.02 and 2,102.10

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Solution

The fourth proportional to 3,674.30, 5,071.02 and 2,102.10 is: 2,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.30 : 5,071.02 = 2,102.10 : x
  2. Step 2: Convert to fraction form
    3,674.30/5,071.02 = 2,102.10/x
  3. Step 3: Cross multiply
    3,674.30x = 5,071.02 × 2,102.10
  4. Step 4: Simplify right side
    3,674.30x = 10,659,791.14
  5. Step 5: Solve for x
    x = 10,659,791.14/3,674.30
  6. Step 6: Final answer
    x = 2,901.18

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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.