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Finding the Fourth Proportional to 4,122.51, 6,183.10 and 1,524.84

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Solution

The fourth proportional to 4,122.51, 6,183.10 and 1,524.84 is: 2,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.51 : 6,183.10 = 1,524.84 : x
  2. Step 2: Convert to fraction form
    4,122.51/6,183.10 = 1,524.84/x
  3. Step 3: Cross multiply
    4,122.51x = 6,183.10 × 1,524.84
  4. Step 4: Simplify right side
    4,122.51x = 9,428,238.20
  5. Step 5: Solve for x
    x = 9,428,238.20/4,122.51
  6. Step 6: Final answer
    x = 2,287.01

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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.