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Finding the Fourth Proportional to 3,674.92, 5,071.62 and 2,103.64

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Solution

The fourth proportional to 3,674.92, 5,071.62 and 2,103.64 is: 2,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.92 : 5,071.62 = 2,103.64 : x
  2. Step 2: Convert to fraction form
    3,674.92/5,071.62 = 2,103.64/x
  3. Step 3: Cross multiply
    3,674.92x = 5,071.62 × 2,103.64
  4. Step 4: Simplify right side
    3,674.92x = 10,668,862.70
  5. Step 5: Solve for x
    x = 10,668,862.70/3,674.92
  6. Step 6: Final answer
    x = 2,903.16

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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.