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Finding the Fourth Proportional to 7,282.38, 10,924.28 and 2,898.81

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Solution

The fourth proportional to 7,282.38, 10,924.28 and 2,898.81 is: 4,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.38 : 10,924.28 = 2,898.81 : x
  2. Step 2: Convert to fraction form
    7,282.38/10,924.28 = 2,898.81/x
  3. Step 3: Cross multiply
    7,282.38x = 10,924.28 × 2,898.81
  4. Step 4: Simplify right side
    7,282.38x = 31,667,412.11
  5. Step 5: Solve for x
    x = 31,667,412.11/7,282.38
  6. Step 6: Final answer
    x = 4,348.50

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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.