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Finding the Fourth Proportional to 3,933.81, 5,900.30 and 2,468.61

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Solution

The fourth proportional to 3,933.81, 5,900.30 and 2,468.61 is: 3,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.81 : 5,900.30 = 2,468.61 : x
  2. Step 2: Convert to fraction form
    3,933.81/5,900.30 = 2,468.61/x
  3. Step 3: Cross multiply
    3,933.81x = 5,900.30 × 2,468.61
  4. Step 4: Simplify right side
    3,933.81x = 14,565,527.24
  5. Step 5: Solve for x
    x = 14,565,527.24/3,933.81
  6. Step 6: Final answer
    x = 3,702.65

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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.