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Finding the Fourth Proportional to 5,049.77, 7,574.54 and 1,352.00

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Solution

The fourth proportional to 5,049.77, 7,574.54 and 1,352.00 is: 2,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.77 : 7,574.54 = 1,352.00 : x
  2. Step 2: Convert to fraction form
    5,049.77/7,574.54 = 1,352.00/x
  3. Step 3: Cross multiply
    5,049.77x = 7,574.54 × 1,352.00
  4. Step 4: Simplify right side
    5,049.77x = 10,240,755.25
  5. Step 5: Solve for x
    x = 10,240,755.25/5,049.77
  6. Step 6: Final answer
    x = 2,027.96

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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.