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Finding the Fourth Proportional to 5,089.50, 7,023.78 and 2,993.22

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Solution

The fourth proportional to 5,089.50, 7,023.78 and 2,993.22 is: 4,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.50 : 7,023.78 = 2,993.22 : x
  2. Step 2: Convert to fraction form
    5,089.50/7,023.78 = 2,993.22/x
  3. Step 3: Cross multiply
    5,089.50x = 7,023.78 × 2,993.22
  4. Step 4: Simplify right side
    5,089.50x = 21,023,718.77
  5. Step 5: Solve for x
    x = 21,023,718.77/5,089.50
  6. Step 6: Final answer
    x = 4,130.80

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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.