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Finding the Fourth Proportional to 5,255, 7,882.28 and 1,306.26

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Solution

The fourth proportional to 5,255, 7,882.28 and 1,306.26 is: 1,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255 : 7,882.28 = 1,306.26 : x
  2. Step 2: Convert to fraction form
    5,255/7,882.28 = 1,306.26/x
  3. Step 3: Cross multiply
    5,255x = 7,882.28 × 1,306.26
  4. Step 4: Simplify right side
    5,255x = 10,296,307.07
  5. Step 5: Solve for x
    x = 10,296,307.07/5,255
  6. Step 6: Final answer
    x = 1,959.34

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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.