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Finding the Fourth Proportional to 4,363.84, 6,545.73 and 1,766.75

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Solution

The fourth proportional to 4,363.84, 6,545.73 and 1,766.75 is: 2,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.84 : 6,545.73 = 1,766.75 : x
  2. Step 2: Convert to fraction form
    4,363.84/6,545.73 = 1,766.75/x
  3. Step 3: Cross multiply
    4,363.84x = 6,545.73 × 1,766.75
  4. Step 4: Simplify right side
    4,363.84x = 11,564,668.48
  5. Step 5: Solve for x
    x = 11,564,668.48/4,363.84
  6. Step 6: Final answer
    x = 2,650.12

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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.