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Finding the Fourth Proportional to 5,801.82, 8,008.47 and 4,033.50

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Solution

The fourth proportional to 5,801.82, 8,008.47 and 4,033.50 is: 5,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.82 : 8,008.47 = 4,033.50 : x
  2. Step 2: Convert to fraction form
    5,801.82/8,008.47 = 4,033.50/x
  3. Step 3: Cross multiply
    5,801.82x = 8,008.47 × 4,033.50
  4. Step 4: Simplify right side
    5,801.82x = 32,302,163.75
  5. Step 5: Solve for x
    x = 32,302,163.75/5,801.82
  6. Step 6: Final answer
    x = 5,567.59

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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.