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Finding the Fourth Proportional to 3,733.44, 5,596.68 and 1,652.33

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Solution

The fourth proportional to 3,733.44, 5,596.68 and 1,652.33 is: 2,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.44 : 5,596.68 = 1,652.33 : x
  2. Step 2: Convert to fraction form
    3,733.44/5,596.68 = 1,652.33/x
  3. Step 3: Cross multiply
    3,733.44x = 5,596.68 × 1,652.33
  4. Step 4: Simplify right side
    3,733.44x = 9,247,534.28
  5. Step 5: Solve for x
    x = 9,247,534.28/3,733.44
  6. Step 6: Final answer
    x = 2,476.95

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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.