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Finding the Fourth Proportional to 4,956, 7,434.24 and 1,878.24

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Solution

The fourth proportional to 4,956, 7,434.24 and 1,878.24 is: 2,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956 : 7,434.24 = 1,878.24 : x
  2. Step 2: Convert to fraction form
    4,956/7,434.24 = 1,878.24/x
  3. Step 3: Cross multiply
    4,956x = 7,434.24 × 1,878.24
  4. Step 4: Simplify right side
    4,956x = 13,963,286.94
  5. Step 5: Solve for x
    x = 13,963,286.94/4,956
  6. Step 6: Final answer
    x = 2,817.45

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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.