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Finding the Fourth Proportional to 5,022.62, 7,527.95 and 3,785.95

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Solution

The fourth proportional to 5,022.62, 7,527.95 and 3,785.95 is: 5,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.62 : 7,527.95 = 3,785.95 : x
  2. Step 2: Convert to fraction form
    5,022.62/7,527.95 = 3,785.95/x
  3. Step 3: Cross multiply
    5,022.62x = 7,527.95 × 3,785.95
  4. Step 4: Simplify right side
    5,022.62x = 28,500,442.30
  5. Step 5: Solve for x
    x = 28,500,442.30/5,022.62
  6. Step 6: Final answer
    x = 5,674.42

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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.