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Finding the Fourth Proportional to 5,000.97, 7,502.66 and 2,629.14

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Solution

The fourth proportional to 5,000.97, 7,502.66 and 2,629.14 is: 3,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.97 : 7,502.66 = 2,629.14 : x
  2. Step 2: Convert to fraction form
    5,000.97/7,502.66 = 2,629.14/x
  3. Step 3: Cross multiply
    5,000.97x = 7,502.66 × 2,629.14
  4. Step 4: Simplify right side
    5,000.97x = 19,725,543.51
  5. Step 5: Solve for x
    x = 19,725,543.51/5,000.97
  6. Step 6: Final answer
    x = 3,944.34

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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.