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Finding the Fourth Proportional to 3,205.16, 4,421.86 and 2,367.88

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Solution

The fourth proportional to 3,205.16, 4,421.86 and 2,367.88 is: 3,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.16 : 4,421.86 = 2,367.88 : x
  2. Step 2: Convert to fraction form
    3,205.16/4,421.86 = 2,367.88/x
  3. Step 3: Cross multiply
    3,205.16x = 4,421.86 × 2,367.88
  4. Step 4: Simplify right side
    3,205.16x = 10,470,433.86
  5. Step 5: Solve for x
    x = 10,470,433.86/3,205.16
  6. Step 6: Final answer
    x = 3,266.74

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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.