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Finding the Fourth Proportional to 4,122.53, 6,182.23 and 1,489.32

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Solution

The fourth proportional to 4,122.53, 6,182.23 and 1,489.32 is: 2,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.53 : 6,182.23 = 1,489.32 : x
  2. Step 2: Convert to fraction form
    4,122.53/6,182.23 = 1,489.32/x
  3. Step 3: Cross multiply
    4,122.53x = 6,182.23 × 1,489.32
  4. Step 4: Simplify right side
    4,122.53x = 9,207,315.06
  5. Step 5: Solve for x
    x = 9,207,315.06/4,122.53
  6. Step 6: Final answer
    x = 2,233.41

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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.