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Finding the Fourth Proportional to 3,576.32, 5,363.84 and 1,268.48

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Solution

The fourth proportional to 3,576.32, 5,363.84 and 1,268.48 is: 1,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.32 : 5,363.84 = 1,268.48 : x
  2. Step 2: Convert to fraction form
    3,576.32/5,363.84 = 1,268.48/x
  3. Step 3: Cross multiply
    3,576.32x = 5,363.84 × 1,268.48
  4. Step 4: Simplify right side
    3,576.32x = 6,803,923.76
  5. Step 5: Solve for x
    x = 6,803,923.76/3,576.32
  6. Step 6: Final answer
    x = 1,902.49

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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.