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Finding the Fourth Proportional to 2,993.48, 4,122.42 and 2,983.76

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Solution

The fourth proportional to 2,993.48, 4,122.42 and 2,983.76 is: 4,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.48 : 4,122.42 = 2,983.76 : x
  2. Step 2: Convert to fraction form
    2,993.48/4,122.42 = 2,983.76/x
  3. Step 3: Cross multiply
    2,993.48x = 4,122.42 × 2,983.76
  4. Step 4: Simplify right side
    2,993.48x = 12,300,311.90
  5. Step 5: Solve for x
    x = 12,300,311.90/2,993.48
  6. Step 6: Final answer
    x = 4,109.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.