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Finding the Fourth Proportional to 3,673.92, 5,070.42 and 2,102.30

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Solution

The fourth proportional to 3,673.92, 5,070.42 and 2,102.30 is: 2,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.92 : 5,070.42 = 2,102.30 : x
  2. Step 2: Convert to fraction form
    3,673.92/5,070.42 = 2,102.30/x
  3. Step 3: Cross multiply
    3,673.92x = 5,070.42 × 2,102.30
  4. Step 4: Simplify right side
    3,673.92x = 10,659,543.97
  5. Step 5: Solve for x
    x = 10,659,543.97/3,673.92
  6. Step 6: Final answer
    x = 2,901.41

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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.