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Finding the Fourth Proportional to 5,821.50, 8,033.67 and 3,725.76

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Solution

The fourth proportional to 5,821.50, 8,033.67 and 3,725.76 is: 5,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.50 : 8,033.67 = 3,725.76 : x
  2. Step 2: Convert to fraction form
    5,821.50/8,033.67 = 3,725.76/x
  3. Step 3: Cross multiply
    5,821.50x = 8,033.67 × 3,725.76
  4. Step 4: Simplify right side
    5,821.50x = 29,931,526.34
  5. Step 5: Solve for x
    x = 29,931,526.34/5,821.50
  6. Step 6: Final answer
    x = 5,141.55

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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.