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Finding the Fourth Proportional to 4,216.96, 6,324.92 and 1,877

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Solution

The fourth proportional to 4,216.96, 6,324.92 and 1,877 is: 2,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.96 : 6,324.92 = 1,877 : x
  2. Step 2: Convert to fraction form
    4,216.96/6,324.92 = 1,877/x
  3. Step 3: Cross multiply
    4,216.96x = 6,324.92 × 1,877
  4. Step 4: Simplify right side
    4,216.96x = 11,871,874.84
  5. Step 5: Solve for x
    x = 11,871,874.84/4,216.96
  6. Step 6: Final answer
    x = 2,815.27

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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.