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Finding the Fourth Proportional to 3,272.06, 4,515.86 and 1,946.49

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Solution

The fourth proportional to 3,272.06, 4,515.86 and 1,946.49 is: 2,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.06 : 4,515.86 = 1,946.49 : x
  2. Step 2: Convert to fraction form
    3,272.06/4,515.86 = 1,946.49/x
  3. Step 3: Cross multiply
    3,272.06x = 4,515.86 × 1,946.49
  4. Step 4: Simplify right side
    3,272.06x = 8,790,066.60
  5. Step 5: Solve for x
    x = 8,790,066.60/3,272.06
  6. Step 6: Final answer
    x = 2,686.41

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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.