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Finding the Fourth Proportional to 5,127.26, 7,696.97 and 4,315.64

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Solution

The fourth proportional to 5,127.26, 7,696.97 and 4,315.64 is: 6,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.26 : 7,696.97 = 4,315.64 : x
  2. Step 2: Convert to fraction form
    5,127.26/7,696.97 = 4,315.64/x
  3. Step 3: Cross multiply
    5,127.26x = 7,696.97 × 4,315.64
  4. Step 4: Simplify right side
    5,127.26x = 33,217,351.61
  5. Step 5: Solve for x
    x = 33,217,351.61/5,127.26
  6. Step 6: Final answer
    x = 6,478.58

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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.