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Finding the Fourth Proportional to 5,311.17, 7,966.22 and 1,753.38

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Solution

The fourth proportional to 5,311.17, 7,966.22 and 1,753.38 is: 2,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.17 : 7,966.22 = 1,753.38 : x
  2. Step 2: Convert to fraction form
    5,311.17/7,966.22 = 1,753.38/x
  3. Step 3: Cross multiply
    5,311.17x = 7,966.22 × 1,753.38
  4. Step 4: Simplify right side
    5,311.17x = 13,967,802.06
  5. Step 5: Solve for x
    x = 13,967,802.06/5,311.17
  6. Step 6: Final answer
    x = 2,629.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.