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Finding the Fourth Proportional to 4,662.90, 6,434.79 and 2,567.02

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Solution

The fourth proportional to 4,662.90, 6,434.79 and 2,567.02 is: 3,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.90 : 6,434.79 = 2,567.02 : x
  2. Step 2: Convert to fraction form
    4,662.90/6,434.79 = 2,567.02/x
  3. Step 3: Cross multiply
    4,662.90x = 6,434.79 × 2,567.02
  4. Step 4: Simplify right side
    4,662.90x = 16,518,234.63
  5. Step 5: Solve for x
    x = 16,518,234.63/4,662.90
  6. Step 6: Final answer
    x = 3,542.48

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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.