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Finding the Fourth Proportional to 3,284.96, 4,922.88 and 1,721.86

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Solution

The fourth proportional to 3,284.96, 4,922.88 and 1,721.86 is: 2,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.96 : 4,922.88 = 1,721.86 : x
  2. Step 2: Convert to fraction form
    3,284.96/4,922.88 = 1,721.86/x
  3. Step 3: Cross multiply
    3,284.96x = 4,922.88 × 1,721.86
  4. Step 4: Simplify right side
    3,284.96x = 8,476,491.39
  5. Step 5: Solve for x
    x = 8,476,491.39/3,284.96
  6. Step 6: Final answer
    x = 2,580.40

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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.