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Finding the Fourth Proportional to 5,801.41, 8,005.80 and 3,443.50

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Solution

The fourth proportional to 5,801.41, 8,005.80 and 3,443.50 is: 4,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.41 : 8,005.80 = 3,443.50 : x
  2. Step 2: Convert to fraction form
    5,801.41/8,005.80 = 3,443.50/x
  3. Step 3: Cross multiply
    5,801.41x = 8,005.80 × 3,443.50
  4. Step 4: Simplify right side
    5,801.41x = 27,567,972.30
  5. Step 5: Solve for x
    x = 27,567,972.30/5,801.41
  6. Step 6: Final answer
    x = 4,751.94

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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.