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Finding the Fourth Proportional to 5,187.93, 7,777.04 and 1,722.75

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Solution

The fourth proportional to 5,187.93, 7,777.04 and 1,722.75 is: 2,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.93 : 7,777.04 = 1,722.75 : x
  2. Step 2: Convert to fraction form
    5,187.93/7,777.04 = 1,722.75/x
  3. Step 3: Cross multiply
    5,187.93x = 7,777.04 × 1,722.75
  4. Step 4: Simplify right side
    5,187.93x = 13,397,887.05
  5. Step 5: Solve for x
    x = 13,397,887.05/5,187.93
  6. Step 6: Final answer
    x = 2,582.51

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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.