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Finding the Fourth Proportional to 4,309.57, 5,949.46 and 2,900.66

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Solution

The fourth proportional to 4,309.57, 5,949.46 and 2,900.66 is: 4,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.57 : 5,949.46 = 2,900.66 : x
  2. Step 2: Convert to fraction form
    4,309.57/5,949.46 = 2,900.66/x
  3. Step 3: Cross multiply
    4,309.57x = 5,949.46 × 2,900.66
  4. Step 4: Simplify right side
    4,309.57x = 17,257,346.14
  5. Step 5: Solve for x
    x = 17,257,346.14/4,309.57
  6. Step 6: Final answer
    x = 4,004.43

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