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Finding the Fourth Proportional to 7,052.86, 9,733.36 and 4,259.26

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Solution

The fourth proportional to 7,052.86, 9,733.36 and 4,259.26 is: 5,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.86 : 9,733.36 = 4,259.26 : x
  2. Step 2: Convert to fraction form
    7,052.86/9,733.36 = 4,259.26/x
  3. Step 3: Cross multiply
    7,052.86x = 9,733.36 × 4,259.26
  4. Step 4: Simplify right side
    7,052.86x = 41,456,910.91
  5. Step 5: Solve for x
    x = 41,456,910.91/7,052.86
  6. Step 6: Final answer
    x = 5,878.03

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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.