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Finding the Fourth Proportional to 3,674.98, 5,071.47 and 2,103.07

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Solution

The fourth proportional to 3,674.98, 5,071.47 and 2,103.07 is: 2,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.98 : 5,071.47 = 2,103.07 : x
  2. Step 2: Convert to fraction form
    3,674.98/5,071.47 = 2,103.07/x
  3. Step 3: Cross multiply
    3,674.98x = 5,071.47 × 2,103.07
  4. Step 4: Simplify right side
    3,674.98x = 10,665,643.73
  5. Step 5: Solve for x
    x = 10,665,643.73/3,674.98
  6. Step 6: Final answer
    x = 2,902.23

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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.