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Finding the Fourth Proportional to 5,821.50, 8,034.84 and 3,337.50

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Solution

The fourth proportional to 5,821.50, 8,034.84 and 3,337.50 is: 4,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.50 : 8,034.84 = 3,337.50 : x
  2. Step 2: Convert to fraction form
    5,821.50/8,034.84 = 3,337.50/x
  3. Step 3: Cross multiply
    5,821.50x = 8,034.84 × 3,337.50
  4. Step 4: Simplify right side
    5,821.50x = 26,816,278.50
  5. Step 5: Solve for x
    x = 26,816,278.50/5,821.50
  6. Step 6: Final answer
    x = 4,606.42

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