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Finding the Fourth Proportional to 3,005.70, 4,146.57 and 2,072.58

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Solution

The fourth proportional to 3,005.70, 4,146.57 and 2,072.58 is: 2,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.70 : 4,146.57 = 2,072.58 : x
  2. Step 2: Convert to fraction form
    3,005.70/4,146.57 = 2,072.58/x
  3. Step 3: Cross multiply
    3,005.70x = 4,146.57 × 2,072.58
  4. Step 4: Simplify right side
    3,005.70x = 8,594,098.05
  5. Step 5: Solve for x
    x = 8,594,098.05/3,005.70
  6. Step 6: Final answer
    x = 2,859.27

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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.