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Finding the Fourth Proportional to 5,012.74, 6,949.22 and 4,746.09

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Solution

The fourth proportional to 5,012.74, 6,949.22 and 4,746.09 is: 6,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.74 : 6,949.22 = 4,746.09 : x
  2. Step 2: Convert to fraction form
    5,012.74/6,949.22 = 4,746.09/x
  3. Step 3: Cross multiply
    5,012.74x = 6,949.22 × 4,746.09
  4. Step 4: Simplify right side
    5,012.74x = 32,981,639.23
  5. Step 5: Solve for x
    x = 32,981,639.23/5,012.74
  6. Step 6: Final answer
    x = 6,579.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.