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Finding the Fourth Proportional to 5,168.14, 7,756.14 and 3,785.06

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Solution

The fourth proportional to 5,168.14, 7,756.14 and 3,785.06 is: 5,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.14 : 7,756.14 = 3,785.06 : x
  2. Step 2: Convert to fraction form
    5,168.14/7,756.14 = 3,785.06/x
  3. Step 3: Cross multiply
    5,168.14x = 7,756.14 × 3,785.06
  4. Step 4: Simplify right side
    5,168.14x = 29,357,455.27
  5. Step 5: Solve for x
    x = 29,357,455.27/5,168.14
  6. Step 6: Final answer
    x = 5,680.47

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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.