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Finding the Fourth Proportional to 5,821.92, 8,034.00 and 3,303.98

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Solution

The fourth proportional to 5,821.92, 8,034.00 and 3,303.98 is: 4,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.92 : 8,034.00 = 3,303.98 : x
  2. Step 2: Convert to fraction form
    5,821.92/8,034.00 = 3,303.98/x
  3. Step 3: Cross multiply
    5,821.92x = 8,034.00 × 3,303.98
  4. Step 4: Simplify right side
    5,821.92x = 26,544,147.54
  5. Step 5: Solve for x
    x = 26,544,147.54/5,821.92
  6. Step 6: Final answer
    x = 4,559.35

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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.