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Finding the Fourth Proportional to 4,853.96, 7,283 and 2,081.24

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Solution

The fourth proportional to 4,853.96, 7,283 and 2,081.24 is: 3,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.96 : 7,283 = 2,081.24 : x
  2. Step 2: Convert to fraction form
    4,853.96/7,283 = 2,081.24/x
  3. Step 3: Cross multiply
    4,853.96x = 7,283 × 2,081.24
  4. Step 4: Simplify right side
    4,853.96x = 15,157,670.92
  5. Step 5: Solve for x
    x = 15,157,670.92/4,853.96
  6. Step 6: Final answer
    x = 3,122.74

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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.