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Finding the Fourth Proportional to 4,523.34, 6,785.46 and 1,403.22

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Solution

The fourth proportional to 4,523.34, 6,785.46 and 1,403.22 is: 2,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.34 : 6,785.46 = 1,403.22 : x
  2. Step 2: Convert to fraction form
    4,523.34/6,785.46 = 1,403.22/x
  3. Step 3: Cross multiply
    4,523.34x = 6,785.46 × 1,403.22
  4. Step 4: Simplify right side
    4,523.34x = 9,521,493.18
  5. Step 5: Solve for x
    x = 9,521,493.18/4,523.34
  6. Step 6: Final answer
    x = 2,104.97

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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.