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Finding the Fourth Proportional to 5,177.84, 7,761.74 and 2,056.82

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Solution

The fourth proportional to 5,177.84, 7,761.74 and 2,056.82 is: 3,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.84 : 7,761.74 = 2,056.82 : x
  2. Step 2: Convert to fraction form
    5,177.84/7,761.74 = 2,056.82/x
  3. Step 3: Cross multiply
    5,177.84x = 7,761.74 × 2,056.82
  4. Step 4: Simplify right side
    5,177.84x = 15,964,502.07
  5. Step 5: Solve for x
    x = 15,964,502.07/5,177.84
  6. Step 6: Final answer
    x = 3,083.24

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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.