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Finding the Fourth Proportional to 4,280.04, 5,905.17 and 2,951.64

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Solution

The fourth proportional to 4,280.04, 5,905.17 and 2,951.64 is: 4,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.04 : 5,905.17 = 2,951.64 : x
  2. Step 2: Convert to fraction form
    4,280.04/5,905.17 = 2,951.64/x
  3. Step 3: Cross multiply
    4,280.04x = 5,905.17 × 2,951.64
  4. Step 4: Simplify right side
    4,280.04x = 17,429,935.98
  5. Step 5: Solve for x
    x = 17,429,935.98/4,280.04
  6. Step 6: Final answer
    x = 4,072.38

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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.