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Finding the Fourth Proportional to 3,858.46, 5,779.97 and 1,775.61

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Solution

The fourth proportional to 3,858.46, 5,779.97 and 1,775.61 is: 2,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.46 : 5,779.97 = 1,775.61 : x
  2. Step 2: Convert to fraction form
    3,858.46/5,779.97 = 1,775.61/x
  3. Step 3: Cross multiply
    3,858.46x = 5,779.97 × 1,775.61
  4. Step 4: Simplify right side
    3,858.46x = 10,262,972.53
  5. Step 5: Solve for x
    x = 10,262,972.53/3,858.46
  6. Step 6: Final answer
    x = 2,659.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.