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Finding the Fourth Proportional to 5,834.88, 8,753.04 and 5,048.64

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Solution

The fourth proportional to 5,834.88, 8,753.04 and 5,048.64 is: 7,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.88 : 8,753.04 = 5,048.64 : x
  2. Step 2: Convert to fraction form
    5,834.88/8,753.04 = 5,048.64/x
  3. Step 3: Cross multiply
    5,834.88x = 8,753.04 × 5,048.64
  4. Step 4: Simplify right side
    5,834.88x = 44,190,947.87
  5. Step 5: Solve for x
    x = 44,190,947.87/5,834.88
  6. Step 6: Final answer
    x = 7,573.58

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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.