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Finding the Fourth Proportional to 4,754.76, 7,132.31 and 1,634.74

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Solution

The fourth proportional to 4,754.76, 7,132.31 and 1,634.74 is: 2,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.76 : 7,132.31 = 1,634.74 : x
  2. Step 2: Convert to fraction form
    4,754.76/7,132.31 = 1,634.74/x
  3. Step 3: Cross multiply
    4,754.76x = 7,132.31 × 1,634.74
  4. Step 4: Simplify right side
    4,754.76x = 11,659,473.19
  5. Step 5: Solve for x
    x = 11,659,473.19/4,754.76
  6. Step 6: Final answer
    x = 2,452.17

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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.