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Finding the Fourth Proportional to 6,458.85, 8,910.92 and 4,222.02

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Solution

The fourth proportional to 6,458.85, 8,910.92 and 4,222.02 is: 5,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.85 : 8,910.92 = 4,222.02 : x
  2. Step 2: Convert to fraction form
    6,458.85/8,910.92 = 4,222.02/x
  3. Step 3: Cross multiply
    6,458.85x = 8,910.92 × 4,222.02
  4. Step 4: Simplify right side
    6,458.85x = 37,622,061.35
  5. Step 5: Solve for x
    x = 37,622,061.35/6,458.85
  6. Step 6: Final answer
    x = 5,824.89

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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.