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Finding the Fourth Proportional to 5,932.80, 8,896.80 and 2,035.20

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Solution

The fourth proportional to 5,932.80, 8,896.80 and 2,035.20 is: 3,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.80 : 8,896.80 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    5,932.80/8,896.80 = 2,035.20/x
  3. Step 3: Cross multiply
    5,932.80x = 8,896.80 × 2,035.20
  4. Step 4: Simplify right side
    5,932.80x = 18,106,767.36
  5. Step 5: Solve for x
    x = 18,106,767.36/5,932.80
  6. Step 6: Final answer
    x = 3,051.98

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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.