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Finding the Fourth Proportional to 4,205.62, 6,309.56 and 3,746.55

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Solution

The fourth proportional to 4,205.62, 6,309.56 and 3,746.55 is: 5,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.62 : 6,309.56 = 3,746.55 : x
  2. Step 2: Convert to fraction form
    4,205.62/6,309.56 = 3,746.55/x
  3. Step 3: Cross multiply
    4,205.62x = 6,309.56 × 3,746.55
  4. Step 4: Simplify right side
    4,205.62x = 23,639,115.05
  5. Step 5: Solve for x
    x = 23,639,115.05/4,205.62
  6. Step 6: Final answer
    x = 5,620.84

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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.