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Finding the Fourth Proportional to 8,798.10, 13,198.01 and 2,558.16

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Solution

The fourth proportional to 8,798.10, 13,198.01 and 2,558.16 is: 3,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,798.10 : 13,198.01 = 2,558.16 : x
  2. Step 2: Convert to fraction form
    8,798.10/13,198.01 = 2,558.16/x
  3. Step 3: Cross multiply
    8,798.10x = 13,198.01 × 2,558.16
  4. Step 4: Simplify right side
    8,798.10x = 33,762,542.48
  5. Step 5: Solve for x
    x = 33,762,542.48/8,798.10
  6. Step 6: Final answer
    x = 3,837.48

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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.