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Finding the Fourth Proportional to 4,640.42, 6,403.50 and 2,752.18

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Solution

The fourth proportional to 4,640.42, 6,403.50 and 2,752.18 is: 3,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.42 : 6,403.50 = 2,752.18 : x
  2. Step 2: Convert to fraction form
    4,640.42/6,403.50 = 2,752.18/x
  3. Step 3: Cross multiply
    4,640.42x = 6,403.50 × 2,752.18
  4. Step 4: Simplify right side
    4,640.42x = 17,623,584.63
  5. Step 5: Solve for x
    x = 17,623,584.63/4,640.42
  6. Step 6: Final answer
    x = 3,797.84

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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.