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Finding the Fourth Proportional to 5,169.16, 7,753.56 and 1,706.38

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Solution

The fourth proportional to 5,169.16, 7,753.56 and 1,706.38 is: 2,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.16 : 7,753.56 = 1,706.38 : x
  2. Step 2: Convert to fraction form
    5,169.16/7,753.56 = 1,706.38/x
  3. Step 3: Cross multiply
    5,169.16x = 7,753.56 × 1,706.38
  4. Step 4: Simplify right side
    5,169.16x = 13,230,519.71
  5. Step 5: Solve for x
    x = 13,230,519.71/5,169.16
  6. Step 6: Final answer
    x = 2,559.51

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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.