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Finding the Fourth Proportional to 4,333.50, 5,981.85 and 4,006.26

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Solution

The fourth proportional to 4,333.50, 5,981.85 and 4,006.26 is: 5,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.50 : 5,981.85 = 4,006.26 : x
  2. Step 2: Convert to fraction form
    4,333.50/5,981.85 = 4,006.26/x
  3. Step 3: Cross multiply
    4,333.50x = 5,981.85 × 4,006.26
  4. Step 4: Simplify right side
    4,333.50x = 23,964,846.38
  5. Step 5: Solve for x
    x = 23,964,846.38/4,333.50
  6. Step 6: Final answer
    x = 5,530.14

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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.