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Finding the Fourth Proportional to 6,205.30, 8,563.18 and 3,552.65

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Solution

The fourth proportional to 6,205.30, 8,563.18 and 3,552.65 is: 4,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.30 : 8,563.18 = 3,552.65 : x
  2. Step 2: Convert to fraction form
    6,205.30/8,563.18 = 3,552.65/x
  3. Step 3: Cross multiply
    6,205.30x = 8,563.18 × 3,552.65
  4. Step 4: Simplify right side
    6,205.30x = 30,421,981.43
  5. Step 5: Solve for x
    x = 30,421,981.43/6,205.30
  6. Step 6: Final answer
    x = 4,902.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.