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Finding the Fourth Proportional to 4,565.57, 6,836.20 and 3,836.57

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Solution

The fourth proportional to 4,565.57, 6,836.20 and 3,836.57 is: 5,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.57 : 6,836.20 = 3,836.57 : x
  2. Step 2: Convert to fraction form
    4,565.57/6,836.20 = 3,836.57/x
  3. Step 3: Cross multiply
    4,565.57x = 6,836.20 × 3,836.57
  4. Step 4: Simplify right side
    4,565.57x = 26,227,516.06
  5. Step 5: Solve for x
    x = 26,227,516.06/4,565.57
  6. Step 6: Final answer
    x = 5,744.64

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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.