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Finding the Fourth Proportional to 4,754.14, 7,132.02 and 2,122.63

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Solution

The fourth proportional to 4,754.14, 7,132.02 and 2,122.63 is: 3,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.14 : 7,132.02 = 2,122.63 : x
  2. Step 2: Convert to fraction form
    4,754.14/7,132.02 = 2,122.63/x
  3. Step 3: Cross multiply
    4,754.14x = 7,132.02 × 2,122.63
  4. Step 4: Simplify right side
    4,754.14x = 15,138,639.61
  5. Step 5: Solve for x
    x = 15,138,639.61/4,754.14
  6. Step 6: Final answer
    x = 3,184.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.