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Finding the Fourth Proportional to 5,801.44, 8,693.52 and 3,205.12

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Solution

The fourth proportional to 5,801.44, 8,693.52 and 3,205.12 is: 4,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.44 : 8,693.52 = 3,205.12 : x
  2. Step 2: Convert to fraction form
    5,801.44/8,693.52 = 3,205.12/x
  3. Step 3: Cross multiply
    5,801.44x = 8,693.52 × 3,205.12
  4. Step 4: Simplify right side
    5,801.44x = 27,863,774.82
  5. Step 5: Solve for x
    x = 27,863,774.82/5,801.44
  6. Step 6: Final answer
    x = 4,802.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.