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Finding the Fourth Proportional to 3,876.83, 5,353.81 and 3,314.03

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Solution

The fourth proportional to 3,876.83, 5,353.81 and 3,314.03 is: 4,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.83 : 5,353.81 = 3,314.03 : x
  2. Step 2: Convert to fraction form
    3,876.83/5,353.81 = 3,314.03/x
  3. Step 3: Cross multiply
    3,876.83x = 5,353.81 × 3,314.03
  4. Step 4: Simplify right side
    3,876.83x = 17,742,700.66
  5. Step 5: Solve for x
    x = 17,742,700.66/3,876.83
  6. Step 6: Final answer
    x = 4,576.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.