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Finding the Fourth Proportional to 4,972.74, 7,463.43 and 3,434.82

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Solution

The fourth proportional to 4,972.74, 7,463.43 and 3,434.82 is: 5,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.74 : 7,463.43 = 3,434.82 : x
  2. Step 2: Convert to fraction form
    4,972.74/7,463.43 = 3,434.82/x
  3. Step 3: Cross multiply
    4,972.74x = 7,463.43 × 3,434.82
  4. Step 4: Simplify right side
    4,972.74x = 25,635,538.63
  5. Step 5: Solve for x
    x = 25,635,538.63/4,972.74
  6. Step 6: Final answer
    x = 5,155.21

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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.