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Finding the Fourth Proportional to 3,286.77, 4,539.93 and 2,525.93

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Solution

The fourth proportional to 3,286.77, 4,539.93 and 2,525.93 is: 3,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.77 : 4,539.93 = 2,525.93 : x
  2. Step 2: Convert to fraction form
    3,286.77/4,539.93 = 2,525.93/x
  3. Step 3: Cross multiply
    3,286.77x = 4,539.93 × 2,525.93
  4. Step 4: Simplify right side
    3,286.77x = 11,467,545.38
  5. Step 5: Solve for x
    x = 11,467,545.38/3,286.77
  6. Step 6: Final answer
    x = 3,489.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.