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Finding the Fourth Proportional to 5,937.53, 8,907.50 and 2,042.24

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Solution

The fourth proportional to 5,937.53, 8,907.50 and 2,042.24 is: 3,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.53 : 8,907.50 = 2,042.24 : x
  2. Step 2: Convert to fraction form
    5,937.53/8,907.50 = 2,042.24/x
  3. Step 3: Cross multiply
    5,937.53x = 8,907.50 × 2,042.24
  4. Step 4: Simplify right side
    5,937.53x = 18,191,213.37
  5. Step 5: Solve for x
    x = 18,191,213.37/5,937.53
  6. Step 6: Final answer
    x = 3,063.77

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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.