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Finding the Fourth Proportional to 5,801.74, 8,000.34 and 3,443.42

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Solution

The fourth proportional to 5,801.74, 8,000.34 and 3,443.42 is: 4,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.74 : 8,000.34 = 3,443.42 : x
  2. Step 2: Convert to fraction form
    5,801.74/8,000.34 = 3,443.42/x
  3. Step 3: Cross multiply
    5,801.74x = 8,000.34 × 3,443.42
  4. Step 4: Simplify right side
    5,801.74x = 27,548,550.76
  5. Step 5: Solve for x
    x = 27,548,550.76/5,801.74
  6. Step 6: Final answer
    x = 4,748.33

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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.