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Finding the Fourth Proportional to 3,953.50, 5,919.72 and 2,562.82

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Solution

The fourth proportional to 3,953.50, 5,919.72 and 2,562.82 is: 3,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.50 : 5,919.72 = 2,562.82 : x
  2. Step 2: Convert to fraction form
    3,953.50/5,919.72 = 2,562.82/x
  3. Step 3: Cross multiply
    3,953.50x = 5,919.72 × 2,562.82
  4. Step 4: Simplify right side
    3,953.50x = 15,171,176.81
  5. Step 5: Solve for x
    x = 15,171,176.81/3,953.50
  6. Step 6: Final answer
    x = 3,837.40

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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.