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Finding the Fourth Proportional to 3,671.25, 5,498.46 and 2,208.69

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Solution

The fourth proportional to 3,671.25, 5,498.46 and 2,208.69 is: 3,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.25 : 5,498.46 = 2,208.69 : x
  2. Step 2: Convert to fraction form
    3,671.25/5,498.46 = 2,208.69/x
  3. Step 3: Cross multiply
    3,671.25x = 5,498.46 × 2,208.69
  4. Step 4: Simplify right side
    3,671.25x = 12,144,393.62
  5. Step 5: Solve for x
    x = 12,144,393.62/3,671.25
  6. Step 6: Final answer
    x = 3,307.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.