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Finding the Fourth Proportional to 3,606.92, 5,406.28 and 1,525.62

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Solution

The fourth proportional to 3,606.92, 5,406.28 and 1,525.62 is: 2,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.92 : 5,406.28 = 1,525.62 : x
  2. Step 2: Convert to fraction form
    3,606.92/5,406.28 = 1,525.62/x
  3. Step 3: Cross multiply
    3,606.92x = 5,406.28 × 1,525.62
  4. Step 4: Simplify right side
    3,606.92x = 8,247,934.53
  5. Step 5: Solve for x
    x = 8,247,934.53/3,606.92
  6. Step 6: Final answer
    x = 2,286.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.