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Finding the Fourth Proportional to 5,855.41, 8,779.96 and 2,564.68

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Solution

The fourth proportional to 5,855.41, 8,779.96 and 2,564.68 is: 3,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.41 : 8,779.96 = 2,564.68 : x
  2. Step 2: Convert to fraction form
    5,855.41/8,779.96 = 2,564.68/x
  3. Step 3: Cross multiply
    5,855.41x = 8,779.96 × 2,564.68
  4. Step 4: Simplify right side
    5,855.41x = 22,517,787.81
  5. Step 5: Solve for x
    x = 22,517,787.81/5,855.41
  6. Step 6: Final answer
    x = 3,845.64

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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.