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Finding the Fourth Proportional to 3,813.76, 5,717.80 and 2,577.70

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Solution

The fourth proportional to 3,813.76, 5,717.80 and 2,577.70 is: 3,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.76 : 5,717.80 = 2,577.70 : x
  2. Step 2: Convert to fraction form
    3,813.76/5,717.80 = 2,577.70/x
  3. Step 3: Cross multiply
    3,813.76x = 5,717.80 × 2,577.70
  4. Step 4: Simplify right side
    3,813.76x = 14,738,773.06
  5. Step 5: Solve for x
    x = 14,738,773.06/3,813.76
  6. Step 6: Final answer
    x = 3,864.63

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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.