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Finding the Fourth Proportional to 3,801.66, 5,693.67 and 3,670.25

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Solution

The fourth proportional to 3,801.66, 5,693.67 and 3,670.25 is: 5,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.66 : 5,693.67 = 3,670.25 : x
  2. Step 2: Convert to fraction form
    3,801.66/5,693.67 = 3,670.25/x
  3. Step 3: Cross multiply
    3,801.66x = 5,693.67 × 3,670.25
  4. Step 4: Simplify right side
    3,801.66x = 20,897,192.32
  5. Step 5: Solve for x
    x = 20,897,192.32/3,801.66
  6. Step 6: Final answer
    x = 5,496.86

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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.