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Finding the Fourth Proportional to 3,876.44, 5,812.22 and 2,558.79

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Solution

The fourth proportional to 3,876.44, 5,812.22 and 2,558.79 is: 3,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.44 : 5,812.22 = 2,558.79 : x
  2. Step 2: Convert to fraction form
    3,876.44/5,812.22 = 2,558.79/x
  3. Step 3: Cross multiply
    3,876.44x = 5,812.22 × 2,558.79
  4. Step 4: Simplify right side
    3,876.44x = 14,872,256.81
  5. Step 5: Solve for x
    x = 14,872,256.81/3,876.44
  6. Step 6: Final answer
    x = 3,836.58

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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.