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Finding the Fourth Proportional to 4,617.96, 6,929.97 and 1,696.29

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Solution

The fourth proportional to 4,617.96, 6,929.97 and 1,696.29 is: 2,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.96 : 6,929.97 = 1,696.29 : x
  2. Step 2: Convert to fraction form
    4,617.96/6,929.97 = 1,696.29/x
  3. Step 3: Cross multiply
    4,617.96x = 6,929.97 × 1,696.29
  4. Step 4: Simplify right side
    4,617.96x = 11,755,238.81
  5. Step 5: Solve for x
    x = 11,755,238.81/4,617.96
  6. Step 6: Final answer
    x = 2,545.55

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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.