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Finding the Fourth Proportional to 3,705.25, 5,559.17 and 1,855.95

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Solution

The fourth proportional to 3,705.25, 5,559.17 and 1,855.95 is: 2,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.25 : 5,559.17 = 1,855.95 : x
  2. Step 2: Convert to fraction form
    3,705.25/5,559.17 = 1,855.95/x
  3. Step 3: Cross multiply
    3,705.25x = 5,559.17 × 1,855.95
  4. Step 4: Simplify right side
    3,705.25x = 10,317,532.28
  5. Step 5: Solve for x
    x = 10,317,532.28/3,705.25
  6. Step 6: Final answer
    x = 2,784.57

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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.