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Finding the Fourth Proportional to 6,205.88, 8,564.46 and 3,552.68

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Solution

The fourth proportional to 6,205.88, 8,564.46 and 3,552.68 is: 4,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.88 : 8,564.46 = 3,552.68 : x
  2. Step 2: Convert to fraction form
    6,205.88/8,564.46 = 3,552.68/x
  3. Step 3: Cross multiply
    6,205.88x = 8,564.46 × 3,552.68
  4. Step 4: Simplify right side
    6,205.88x = 30,426,785.75
  5. Step 5: Solve for x
    x = 30,426,785.75/6,205.88
  6. Step 6: Final answer
    x = 4,902.90

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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.