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Finding the Fourth Proportional to 4,913.76, 7,372.56 and 1,836

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Solution

The fourth proportional to 4,913.76, 7,372.56 and 1,836 is: 2,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.76 : 7,372.56 = 1,836 : x
  2. Step 2: Convert to fraction form
    4,913.76/7,372.56 = 1,836/x
  3. Step 3: Cross multiply
    4,913.76x = 7,372.56 × 1,836
  4. Step 4: Simplify right side
    4,913.76x = 13,536,020.16
  5. Step 5: Solve for x
    x = 13,536,020.16/4,913.76
  6. Step 6: Final answer
    x = 2,754.72

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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.