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Finding the Fourth Proportional to 3,866.46, 5,801.31 and 2,779.44

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Solution

The fourth proportional to 3,866.46, 5,801.31 and 2,779.44 is: 4,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.46 : 5,801.31 = 2,779.44 : x
  2. Step 2: Convert to fraction form
    3,866.46/5,801.31 = 2,779.44/x
  3. Step 3: Cross multiply
    3,866.46x = 5,801.31 × 2,779.44
  4. Step 4: Simplify right side
    3,866.46x = 16,124,393.07
  5. Step 5: Solve for x
    x = 16,124,393.07/3,866.46
  6. Step 6: Final answer
    x = 4,170.32

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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.