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Finding the Fourth Proportional to 4,051.77, 6,074.05 and 1,584.85

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Solution

The fourth proportional to 4,051.77, 6,074.05 and 1,584.85 is: 2,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.77 : 6,074.05 = 1,584.85 : x
  2. Step 2: Convert to fraction form
    4,051.77/6,074.05 = 1,584.85/x
  3. Step 3: Cross multiply
    4,051.77x = 6,074.05 × 1,584.85
  4. Step 4: Simplify right side
    4,051.77x = 9,626,458.14
  5. Step 5: Solve for x
    x = 9,626,458.14/4,051.77
  6. Step 6: Final answer
    x = 2,375.86

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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.