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Finding the Fourth Proportional to 3,367.66, 4,646.06 and 2,108.20

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Solution

The fourth proportional to 3,367.66, 4,646.06 and 2,108.20 is: 2,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.66 : 4,646.06 = 2,108.20 : x
  2. Step 2: Convert to fraction form
    3,367.66/4,646.06 = 2,108.20/x
  3. Step 3: Cross multiply
    3,367.66x = 4,646.06 × 2,108.20
  4. Step 4: Simplify right side
    3,367.66x = 9,794,823.69
  5. Step 5: Solve for x
    x = 9,794,823.69/3,367.66
  6. Step 6: Final answer
    x = 2,908.50

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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.