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Finding the Fourth Proportional to 5,289.97, 7,300.43 and 2,932.06

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Solution

The fourth proportional to 5,289.97, 7,300.43 and 2,932.06 is: 4,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.97 : 7,300.43 = 2,932.06 : x
  2. Step 2: Convert to fraction form
    5,289.97/7,300.43 = 2,932.06/x
  3. Step 3: Cross multiply
    5,289.97x = 7,300.43 × 2,932.06
  4. Step 4: Simplify right side
    5,289.97x = 21,405,298.79
  5. Step 5: Solve for x
    x = 21,405,298.79/5,289.97
  6. Step 6: Final answer
    x = 4,046.39

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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.