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Finding the Fourth Proportional to 4,696, 6,486.82 and 4,363.90

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Solution

The fourth proportional to 4,696, 6,486.82 and 4,363.90 is: 6,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696 : 6,486.82 = 4,363.90 : x
  2. Step 2: Convert to fraction form
    4,696/6,486.82 = 4,363.90/x
  3. Step 3: Cross multiply
    4,696x = 6,486.82 × 4,363.90
  4. Step 4: Simplify right side
    4,696x = 28,307,833.80
  5. Step 5: Solve for x
    x = 28,307,833.80/4,696
  6. Step 6: Final answer
    x = 6,028.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.