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Finding the Fourth Proportional to 4,913.48, 7,372.04 and 2,282.27

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Solution

The fourth proportional to 4,913.48, 7,372.04 and 2,282.27 is: 3,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.48 : 7,372.04 = 2,282.27 : x
  2. Step 2: Convert to fraction form
    4,913.48/7,372.04 = 2,282.27/x
  3. Step 3: Cross multiply
    4,913.48x = 7,372.04 × 2,282.27
  4. Step 4: Simplify right side
    4,913.48x = 16,824,937.46
  5. Step 5: Solve for x
    x = 16,824,937.46/4,913.48
  6. Step 6: Final answer
    x = 3,424.24

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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.