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Finding the Fourth Proportional to 4,216.96, 6,327.92 and 1,877.07

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Solution

The fourth proportional to 4,216.96, 6,327.92 and 1,877.07 is: 2,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.96 : 6,327.92 = 1,877.07 : x
  2. Step 2: Convert to fraction form
    4,216.96/6,327.92 = 1,877.07/x
  3. Step 3: Cross multiply
    4,216.96x = 6,327.92 × 1,877.07
  4. Step 4: Simplify right side
    4,216.96x = 11,877,948.79
  5. Step 5: Solve for x
    x = 11,877,948.79/4,216.96
  6. Step 6: Final answer
    x = 2,816.71

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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.