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Finding the Fourth Proportional to 4,302.09, 6,442.20 and 4,197.60

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Solution

The fourth proportional to 4,302.09, 6,442.20 and 4,197.60 is: 6,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.09 : 6,442.20 = 4,197.60 : x
  2. Step 2: Convert to fraction form
    4,302.09/6,442.20 = 4,197.60/x
  3. Step 3: Cross multiply
    4,302.09x = 6,442.20 × 4,197.60
  4. Step 4: Simplify right side
    4,302.09x = 27,041,778.72
  5. Step 5: Solve for x
    x = 27,041,778.72/4,302.09
  6. Step 6: Final answer
    x = 6,285.73

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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.