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Finding the Fourth Proportional to 3,415.85, 5,120.55 and 1,853.55

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Solution

The fourth proportional to 3,415.85, 5,120.55 and 1,853.55 is: 2,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.85 : 5,120.55 = 1,853.55 : x
  2. Step 2: Convert to fraction form
    3,415.85/5,120.55 = 1,853.55/x
  3. Step 3: Cross multiply
    3,415.85x = 5,120.55 × 1,853.55
  4. Step 4: Simplify right side
    3,415.85x = 9,491,195.45
  5. Step 5: Solve for x
    x = 9,491,195.45/3,415.85
  6. Step 6: Final answer
    x = 2,778.58

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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.