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Finding the Fourth Proportional to 4,662.60, 6,434.37 and 2,566.73

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Solution

The fourth proportional to 4,662.60, 6,434.37 and 2,566.73 is: 3,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.60 : 6,434.37 = 2,566.73 : x
  2. Step 2: Convert to fraction form
    4,662.60/6,434.37 = 2,566.73/x
  3. Step 3: Cross multiply
    4,662.60x = 6,434.37 × 2,566.73
  4. Step 4: Simplify right side
    4,662.60x = 16,515,258.34
  5. Step 5: Solve for x
    x = 16,515,258.34/4,662.60
  6. Step 6: Final answer
    x = 3,542.07

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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.