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Finding the Fourth Proportional to 5,294.02, 7,941.22 and 2,007.36

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Solution

The fourth proportional to 5,294.02, 7,941.22 and 2,007.36 is: 3,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.02 : 7,941.22 = 2,007.36 : x
  2. Step 2: Convert to fraction form
    5,294.02/7,941.22 = 2,007.36/x
  3. Step 3: Cross multiply
    5,294.02x = 7,941.22 × 2,007.36
  4. Step 4: Simplify right side
    5,294.02x = 15,940,887.38
  5. Step 5: Solve for x
    x = 15,940,887.38/5,294.02
  6. Step 6: Final answer
    x = 3,011.11

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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.