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Finding the Fourth Proportional to 4,662.82, 6,434.46 and 2,567.02

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Solution

The fourth proportional to 4,662.82, 6,434.46 and 2,567.02 is: 3,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.82 : 6,434.46 = 2,567.02 : x
  2. Step 2: Convert to fraction form
    4,662.82/6,434.46 = 2,567.02/x
  3. Step 3: Cross multiply
    4,662.82x = 6,434.46 × 2,567.02
  4. Step 4: Simplify right side
    4,662.82x = 16,517,387.51
  5. Step 5: Solve for x
    x = 16,517,387.51/4,662.82
  6. Step 6: Final answer
    x = 3,542.36

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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.