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Finding the Fourth Proportional to 5,652.52, 7,803.16 and 3,767.25

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Solution

The fourth proportional to 5,652.52, 7,803.16 and 3,767.25 is: 5,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.52 : 7,803.16 = 3,767.25 : x
  2. Step 2: Convert to fraction form
    5,652.52/7,803.16 = 3,767.25/x
  3. Step 3: Cross multiply
    5,652.52x = 7,803.16 × 3,767.25
  4. Step 4: Simplify right side
    5,652.52x = 29,396,441.06
  5. Step 5: Solve for x
    x = 29,396,441.06/5,652.52
  6. Step 6: Final answer
    x = 5,200.59

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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.