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Finding the Fourth Proportional to 3,509.79, 5,263.61 and 1,200.75

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Solution

The fourth proportional to 3,509.79, 5,263.61 and 1,200.75 is: 1,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.79 : 5,263.61 = 1,200.75 : x
  2. Step 2: Convert to fraction form
    3,509.79/5,263.61 = 1,200.75/x
  3. Step 3: Cross multiply
    3,509.79x = 5,263.61 × 1,200.75
  4. Step 4: Simplify right side
    3,509.79x = 6,320,273.70
  5. Step 5: Solve for x
    x = 6,320,273.70/3,509.79
  6. Step 6: Final answer
    x = 1,800.76

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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.