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Finding the Fourth Proportional to 4,754.67, 7,133.40 and 2,122.80

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Solution

The fourth proportional to 4,754.67, 7,133.40 and 2,122.80 is: 3,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.67 : 7,133.40 = 2,122.80 : x
  2. Step 2: Convert to fraction form
    4,754.67/7,133.40 = 2,122.80/x
  3. Step 3: Cross multiply
    4,754.67x = 7,133.40 × 2,122.80
  4. Step 4: Simplify right side
    4,754.67x = 15,142,781.52
  5. Step 5: Solve for x
    x = 15,142,781.52/4,754.67
  6. Step 6: Final answer
    x = 3,184.82

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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.