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Finding the Fourth Proportional to 5,330.66, 7,351.31 and 4,214.26

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Solution

The fourth proportional to 5,330.66, 7,351.31 and 4,214.26 is: 5,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.66 : 7,351.31 = 4,214.26 : x
  2. Step 2: Convert to fraction form
    5,330.66/7,351.31 = 4,214.26/x
  3. Step 3: Cross multiply
    5,330.66x = 7,351.31 × 4,214.26
  4. Step 4: Simplify right side
    5,330.66x = 30,980,273.85
  5. Step 5: Solve for x
    x = 30,980,273.85/5,330.66
  6. Step 6: Final answer
    x = 5,811.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.