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Finding the Fourth Proportional to 5,821.25, 8,035.02 and 3,804.96

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Solution

The fourth proportional to 5,821.25, 8,035.02 and 3,804.96 is: 5,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.25 : 8,035.02 = 3,804.96 : x
  2. Step 2: Convert to fraction form
    5,821.25/8,035.02 = 3,804.96/x
  3. Step 3: Cross multiply
    5,821.25x = 8,035.02 × 3,804.96
  4. Step 4: Simplify right side
    5,821.25x = 30,572,929.70
  5. Step 5: Solve for x
    x = 30,572,929.70/5,821.25
  6. Step 6: Final answer
    x = 5,251.95

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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.