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Finding the Fourth Proportional to 6,013, 8,298.66 and 3,529

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Solution

The fourth proportional to 6,013, 8,298.66 and 3,529 is: 4,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013 : 8,298.66 = 3,529 : x
  2. Step 2: Convert to fraction form
    6,013/8,298.66 = 3,529/x
  3. Step 3: Cross multiply
    6,013x = 8,298.66 × 3,529
  4. Step 4: Simplify right side
    6,013x = 29,285,971.14
  5. Step 5: Solve for x
    x = 29,285,971.14/6,013
  6. Step 6: Final answer
    x = 4,870.44

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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.