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Finding the Fourth Proportional to 7,280.38, 10,921.28 and 2,896.81

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Solution

The fourth proportional to 7,280.38, 10,921.28 and 2,896.81 is: 4,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.38 : 10,921.28 = 2,896.81 : x
  2. Step 2: Convert to fraction form
    7,280.38/10,921.28 = 2,896.81/x
  3. Step 3: Cross multiply
    7,280.38x = 10,921.28 × 2,896.81
  4. Step 4: Simplify right side
    7,280.38x = 31,636,909.06
  5. Step 5: Solve for x
    x = 31,636,909.06/7,280.38
  6. Step 6: Final answer
    x = 4,345.50

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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.