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Finding the Fourth Proportional to 4,348.66, 6,517.64 and 2,005.41

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Solution

The fourth proportional to 4,348.66, 6,517.64 and 2,005.41 is: 3,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.66 : 6,517.64 = 2,005.41 : x
  2. Step 2: Convert to fraction form
    4,348.66/6,517.64 = 2,005.41/x
  3. Step 3: Cross multiply
    4,348.66x = 6,517.64 × 2,005.41
  4. Step 4: Simplify right side
    4,348.66x = 13,070,508.47
  5. Step 5: Solve for x
    x = 13,070,508.47/4,348.66
  6. Step 6: Final answer
    x = 3,005.64

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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.