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Finding the Fourth Proportional to 4,662.57, 6,434.45 and 2,566.70

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Solution

The fourth proportional to 4,662.57, 6,434.45 and 2,566.70 is: 3,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.57 : 6,434.45 = 2,566.70 : x
  2. Step 2: Convert to fraction form
    4,662.57/6,434.45 = 2,566.70/x
  3. Step 3: Cross multiply
    4,662.57x = 6,434.45 × 2,566.70
  4. Step 4: Simplify right side
    4,662.57x = 16,515,257.81
  5. Step 5: Solve for x
    x = 16,515,257.81/4,662.57
  6. Step 6: Final answer
    x = 3,542.09

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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.