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Finding the Fourth Proportional to 3,340.09, 5,011.89 and 1,956.14

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Solution

The fourth proportional to 3,340.09, 5,011.89 and 1,956.14 is: 2,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.09 : 5,011.89 = 1,956.14 : x
  2. Step 2: Convert to fraction form
    3,340.09/5,011.89 = 1,956.14/x
  3. Step 3: Cross multiply
    3,340.09x = 5,011.89 × 1,956.14
  4. Step 4: Simplify right side
    3,340.09x = 9,803,958.50
  5. Step 5: Solve for x
    x = 9,803,958.50/3,340.09
  6. Step 6: Final answer
    x = 2,935.24

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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.