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Finding the Fourth Proportional to 3,652.31, 5,476.03 and 1,777.70

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Solution

The fourth proportional to 3,652.31, 5,476.03 and 1,777.70 is: 2,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.31 : 5,476.03 = 1,777.70 : x
  2. Step 2: Convert to fraction form
    3,652.31/5,476.03 = 1,777.70/x
  3. Step 3: Cross multiply
    3,652.31x = 5,476.03 × 1,777.70
  4. Step 4: Simplify right side
    3,652.31x = 9,734,738.53
  5. Step 5: Solve for x
    x = 9,734,738.53/3,652.31
  6. Step 6: Final answer
    x = 2,665.36

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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.