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Finding the Fourth Proportional to 3,777.50, 5,652.00 and 3,393.82

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Solution

The fourth proportional to 3,777.50, 5,652.00 and 3,393.82 is: 5,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.50 : 5,652.00 = 3,393.82 : x
  2. Step 2: Convert to fraction form
    3,777.50/5,652.00 = 3,393.82/x
  3. Step 3: Cross multiply
    3,777.50x = 5,652.00 × 3,393.82
  4. Step 4: Simplify right side
    3,777.50x = 19,181,903.15
  5. Step 5: Solve for x
    x = 19,181,903.15/3,777.50
  6. Step 6: Final answer
    x = 5,077.93

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Why These Related Problems?

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