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Finding the Fourth Proportional to 4,330.81, 5,978.82 and 3,470.71

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Solution

The fourth proportional to 4,330.81, 5,978.82 and 3,470.71 is: 4,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.81 : 5,978.82 = 3,470.71 : x
  2. Step 2: Convert to fraction form
    4,330.81/5,978.82 = 3,470.71/x
  3. Step 3: Cross multiply
    4,330.81x = 5,978.82 × 3,470.71
  4. Step 4: Simplify right side
    4,330.81x = 20,750,750.36
  5. Step 5: Solve for x
    x = 20,750,750.36/4,330.81
  6. Step 6: Final answer
    x = 4,791.42

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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.