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Finding the Fourth Proportional to 5,162.57, 7,124.38 and 2,804.71

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Solution

The fourth proportional to 5,162.57, 7,124.38 and 2,804.71 is: 3,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.57 : 7,124.38 = 2,804.71 : x
  2. Step 2: Convert to fraction form
    5,162.57/7,124.38 = 2,804.71/x
  3. Step 3: Cross multiply
    5,162.57x = 7,124.38 × 2,804.71
  4. Step 4: Simplify right side
    5,162.57x = 19,981,819.83
  5. Step 5: Solve for x
    x = 19,981,819.83/5,162.57
  6. Step 6: Final answer
    x = 3,870.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.