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Finding the Fourth Proportional to 3,208.62, 4,421.02 and 2,158.86

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Solution

The fourth proportional to 3,208.62, 4,421.02 and 2,158.86 is: 2,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.62 : 4,421.02 = 2,158.86 : x
  2. Step 2: Convert to fraction form
    3,208.62/4,421.02 = 2,158.86/x
  3. Step 3: Cross multiply
    3,208.62x = 4,421.02 × 2,158.86
  4. Step 4: Simplify right side
    3,208.62x = 9,544,363.24
  5. Step 5: Solve for x
    x = 9,544,363.24/3,208.62
  6. Step 6: Final answer
    x = 2,974.60

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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.