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Finding the Fourth Proportional to 5,198.13, 7,798.50 and 1,500.63

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Solution

The fourth proportional to 5,198.13, 7,798.50 and 1,500.63 is: 2,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.13 : 7,798.50 = 1,500.63 : x
  2. Step 2: Convert to fraction form
    5,198.13/7,798.50 = 1,500.63/x
  3. Step 3: Cross multiply
    5,198.13x = 7,798.50 × 1,500.63
  4. Step 4: Simplify right side
    5,198.13x = 11,702,663.06
  5. Step 5: Solve for x
    x = 11,702,663.06/5,198.13
  6. Step 6: Final answer
    x = 2,251.32

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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.