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Finding the Fourth Proportional to 5,269.09, 7,272.05 and 5,096.01

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Solution

The fourth proportional to 5,269.09, 7,272.05 and 5,096.01 is: 7,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.09 : 7,272.05 = 5,096.01 : x
  2. Step 2: Convert to fraction form
    5,269.09/7,272.05 = 5,096.01/x
  3. Step 3: Cross multiply
    5,269.09x = 7,272.05 × 5,096.01
  4. Step 4: Simplify right side
    5,269.09x = 37,058,439.52
  5. Step 5: Solve for x
    x = 37,058,439.52/5,269.09
  6. Step 6: Final answer
    x = 7,033.18

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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.