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Finding the Fourth Proportional to 4,973.39, 7,458.02 and 2,198.13

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Solution

The fourth proportional to 4,973.39, 7,458.02 and 2,198.13 is: 3,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.39 : 7,458.02 = 2,198.13 : x
  2. Step 2: Convert to fraction form
    4,973.39/7,458.02 = 2,198.13/x
  3. Step 3: Cross multiply
    4,973.39x = 7,458.02 × 2,198.13
  4. Step 4: Simplify right side
    4,973.39x = 16,393,697.50
  5. Step 5: Solve for x
    x = 16,393,697.50/4,973.39
  6. Step 6: Final answer
    x = 3,296.28

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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.