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Finding the Fourth Proportional to 3,280.79, 4,532.81 and 2,923.58

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Solution

The fourth proportional to 3,280.79, 4,532.81 and 2,923.58 is: 4,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.79 : 4,532.81 = 2,923.58 : x
  2. Step 2: Convert to fraction form
    3,280.79/4,532.81 = 2,923.58/x
  3. Step 3: Cross multiply
    3,280.79x = 4,532.81 × 2,923.58
  4. Step 4: Simplify right side
    3,280.79x = 13,251,995.38
  5. Step 5: Solve for x
    x = 13,251,995.38/3,280.79
  6. Step 6: Final answer
    x = 4,039.28

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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.