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Finding the Fourth Proportional to 6,239.52, 9,356.52 and 2,290.80

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Solution

The fourth proportional to 6,239.52, 9,356.52 and 2,290.80 is: 3,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.52 : 9,356.52 = 2,290.80 : x
  2. Step 2: Convert to fraction form
    6,239.52/9,356.52 = 2,290.80/x
  3. Step 3: Cross multiply
    6,239.52x = 9,356.52 × 2,290.80
  4. Step 4: Simplify right side
    6,239.52x = 21,433,916.02
  5. Step 5: Solve for x
    x = 21,433,916.02/6,239.52
  6. Step 6: Final answer
    x = 3,435.19

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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.