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Finding the Fourth Proportional to 4,472.81, 6,711.95 and 2,827.09

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Solution

The fourth proportional to 4,472.81, 6,711.95 and 2,827.09 is: 4,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.81 : 6,711.95 = 2,827.09 : x
  2. Step 2: Convert to fraction form
    4,472.81/6,711.95 = 2,827.09/x
  3. Step 3: Cross multiply
    4,472.81x = 6,711.95 × 2,827.09
  4. Step 4: Simplify right side
    4,472.81x = 18,975,272.59
  5. Step 5: Solve for x
    x = 18,975,272.59/4,472.81
  6. Step 6: Final answer
    x = 4,242.36

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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.