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Finding the Fourth Proportional to 5,696.36, 8,545.78 and 1,747.64

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Solution

The fourth proportional to 5,696.36, 8,545.78 and 1,747.64 is: 2,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.36 : 8,545.78 = 1,747.64 : x
  2. Step 2: Convert to fraction form
    5,696.36/8,545.78 = 1,747.64/x
  3. Step 3: Cross multiply
    5,696.36x = 8,545.78 × 1,747.64
  4. Step 4: Simplify right side
    5,696.36x = 14,934,946.96
  5. Step 5: Solve for x
    x = 14,934,946.96/5,696.36
  6. Step 6: Final answer
    x = 2,621.84

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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.