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Finding the Fourth Proportional to 5,098.08, 7,641 and 3,615

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Solution

The fourth proportional to 5,098.08, 7,641 and 3,615 is: 5,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.08 : 7,641 = 3,615 : x
  2. Step 2: Convert to fraction form
    5,098.08/7,641 = 3,615/x
  3. Step 3: Cross multiply
    5,098.08x = 7,641 × 3,615
  4. Step 4: Simplify right side
    5,098.08x = 27,622,215
  5. Step 5: Solve for x
    x = 27,622,215/5,098.08
  6. Step 6: Final answer
    x = 5,418.16

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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.