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Finding the Fourth Proportional to 4,348.70, 6,517.70 and 2,005.45

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Solution

The fourth proportional to 4,348.70, 6,517.70 and 2,005.45 is: 3,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.70 : 6,517.70 = 2,005.45 : x
  2. Step 2: Convert to fraction form
    4,348.70/6,517.70 = 2,005.45/x
  3. Step 3: Cross multiply
    4,348.70x = 6,517.70 × 2,005.45
  4. Step 4: Simplify right side
    4,348.70x = 13,070,921.47
  5. Step 5: Solve for x
    x = 13,070,921.47/4,348.70
  6. Step 6: Final answer
    x = 3,005.71

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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.