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Finding the Fourth Proportional to 4,342.71, 5,969.76 and 4,315.38

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Solution

The fourth proportional to 4,342.71, 5,969.76 and 4,315.38 is: 5,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.71 : 5,969.76 = 4,315.38 : x
  2. Step 2: Convert to fraction form
    4,342.71/5,969.76 = 4,315.38/x
  3. Step 3: Cross multiply
    4,342.71x = 5,969.76 × 4,315.38
  4. Step 4: Simplify right side
    4,342.71x = 25,761,782.91
  5. Step 5: Solve for x
    x = 25,761,782.91/4,342.71
  6. Step 6: Final answer
    x = 5,932.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.