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Finding the Fourth Proportional to 5,297.26, 7,305.69 and 4,288.45

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Solution

The fourth proportional to 5,297.26, 7,305.69 and 4,288.45 is: 5,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.26 : 7,305.69 = 4,288.45 : x
  2. Step 2: Convert to fraction form
    5,297.26/7,305.69 = 4,288.45/x
  3. Step 3: Cross multiply
    5,297.26x = 7,305.69 × 4,288.45
  4. Step 4: Simplify right side
    5,297.26x = 31,330,086.28
  5. Step 5: Solve for x
    x = 31,330,086.28/5,297.26
  6. Step 6: Final answer
    x = 5,914.39

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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.