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Finding the Fourth Proportional to 3,671.34, 5,065.20 and 2,099.04

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Solution

The fourth proportional to 3,671.34, 5,065.20 and 2,099.04 is: 2,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.34 : 5,065.20 = 2,099.04 : x
  2. Step 2: Convert to fraction form
    3,671.34/5,065.20 = 2,099.04/x
  3. Step 3: Cross multiply
    3,671.34x = 5,065.20 × 2,099.04
  4. Step 4: Simplify right side
    3,671.34x = 10,632,057.41
  5. Step 5: Solve for x
    x = 10,632,057.41/3,671.34
  6. Step 6: Final answer
    x = 2,895.96

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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.