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Finding the Fourth Proportional to 4,664.02, 6,435.68 and 2,674.66

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Solution

The fourth proportional to 4,664.02, 6,435.68 and 2,674.66 is: 3,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.02 : 6,435.68 = 2,674.66 : x
  2. Step 2: Convert to fraction form
    4,664.02/6,435.68 = 2,674.66/x
  3. Step 3: Cross multiply
    4,664.02x = 6,435.68 × 2,674.66
  4. Step 4: Simplify right side
    4,664.02x = 17,213,255.87
  5. Step 5: Solve for x
    x = 17,213,255.87/4,664.02
  6. Step 6: Final answer
    x = 3,690.65

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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.