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Finding the Fourth Proportional to 5,097.13, 7,033.38 and 2,973.11

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Solution

The fourth proportional to 5,097.13, 7,033.38 and 2,973.11 is: 4,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.13 : 7,033.38 = 2,973.11 : x
  2. Step 2: Convert to fraction form
    5,097.13/7,033.38 = 2,973.11/x
  3. Step 3: Cross multiply
    5,097.13x = 7,033.38 × 2,973.11
  4. Step 4: Simplify right side
    5,097.13x = 20,910,982.82
  5. Step 5: Solve for x
    x = 20,910,982.82/5,097.13
  6. Step 6: Final answer
    x = 4,102.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.