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Finding the Fourth Proportional to 4,161.87, 6,244.01 and 1,852.83

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Solution

The fourth proportional to 4,161.87, 6,244.01 and 1,852.83 is: 2,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.87 : 6,244.01 = 1,852.83 : x
  2. Step 2: Convert to fraction form
    4,161.87/6,244.01 = 1,852.83/x
  3. Step 3: Cross multiply
    4,161.87x = 6,244.01 × 1,852.83
  4. Step 4: Simplify right side
    4,161.87x = 11,569,079.78
  5. Step 5: Solve for x
    x = 11,569,079.78/4,161.87
  6. Step 6: Final answer
    x = 2,779.78

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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.