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Finding the Fourth Proportional to 5,322.86, 7,986.77 and 2,034.87

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Solution

The fourth proportional to 5,322.86, 7,986.77 and 2,034.87 is: 3,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.86 : 7,986.77 = 2,034.87 : x
  2. Step 2: Convert to fraction form
    5,322.86/7,986.77 = 2,034.87/x
  3. Step 3: Cross multiply
    5,322.86x = 7,986.77 × 2,034.87
  4. Step 4: Simplify right side
    5,322.86x = 16,252,028.50
  5. Step 5: Solve for x
    x = 16,252,028.50/5,322.86
  6. Step 6: Final answer
    x = 3,053.25

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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.