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Finding the Fourth Proportional to 5,162.64, 7,124.25 and 2,804.70

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Solution

The fourth proportional to 5,162.64, 7,124.25 and 2,804.70 is: 3,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.64 : 7,124.25 = 2,804.70 : x
  2. Step 2: Convert to fraction form
    5,162.64/7,124.25 = 2,804.70/x
  3. Step 3: Cross multiply
    5,162.64x = 7,124.25 × 2,804.70
  4. Step 4: Simplify right side
    5,162.64x = 19,981,383.98
  5. Step 5: Solve for x
    x = 19,981,383.98/5,162.64
  6. Step 6: Final answer
    x = 3,870.38

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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.