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Finding the Fourth Proportional to 4,662.25, 6,433.22 and 2,645.35

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Solution

The fourth proportional to 4,662.25, 6,433.22 and 2,645.35 is: 3,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.25 : 6,433.22 = 2,645.35 : x
  2. Step 2: Convert to fraction form
    4,662.25/6,433.22 = 2,645.35/x
  3. Step 3: Cross multiply
    4,662.25x = 6,433.22 × 2,645.35
  4. Step 4: Simplify right side
    4,662.25x = 17,018,086.36
  5. Step 5: Solve for x
    x = 17,018,086.36/4,662.25
  6. Step 6: Final answer
    x = 3,650.19

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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.