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Finding the Fourth Proportional to 5,777.58, 8,664.36 and 1,881

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Solution

The fourth proportional to 5,777.58, 8,664.36 and 1,881 is: 2,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.58 : 8,664.36 = 1,881 : x
  2. Step 2: Convert to fraction form
    5,777.58/8,664.36 = 1,881/x
  3. Step 3: Cross multiply
    5,777.58x = 8,664.36 × 1,881
  4. Step 4: Simplify right side
    5,777.58x = 16,297,661.16
  5. Step 5: Solve for x
    x = 16,297,661.16/5,777.58
  6. Step 6: Final answer
    x = 2,820.85

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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.