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Finding the Fourth Proportional to 4,523.87, 6,781.95 and 2,057.82

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Solution

The fourth proportional to 4,523.87, 6,781.95 and 2,057.82 is: 3,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.87 : 6,781.95 = 2,057.82 : x
  2. Step 2: Convert to fraction form
    4,523.87/6,781.95 = 2,057.82/x
  3. Step 3: Cross multiply
    4,523.87x = 6,781.95 × 2,057.82
  4. Step 4: Simplify right side
    4,523.87x = 13,956,032.35
  5. Step 5: Solve for x
    x = 13,956,032.35/4,523.87
  6. Step 6: Final answer
    x = 3,084.98

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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.