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Finding the Fourth Proportional to 7,059.78, 10,589.87 and 3,938.04

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Solution

The fourth proportional to 7,059.78, 10,589.87 and 3,938.04 is: 5,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.78 : 10,589.87 = 3,938.04 : x
  2. Step 2: Convert to fraction form
    7,059.78/10,589.87 = 3,938.04/x
  3. Step 3: Cross multiply
    7,059.78x = 10,589.87 × 3,938.04
  4. Step 4: Simplify right side
    7,059.78x = 41,703,341.50
  5. Step 5: Solve for x
    x = 41,703,341.50/7,059.78
  6. Step 6: Final answer
    x = 5,907.17

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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.