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Finding the Fourth Proportional to 5,287.02, 7,290.75 and 3,189.90

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Solution

The fourth proportional to 5,287.02, 7,290.75 and 3,189.90 is: 4,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.02 : 7,290.75 = 3,189.90 : x
  2. Step 2: Convert to fraction form
    5,287.02/7,290.75 = 3,189.90/x
  3. Step 3: Cross multiply
    5,287.02x = 7,290.75 × 3,189.90
  4. Step 4: Simplify right side
    5,287.02x = 23,256,763.43
  5. Step 5: Solve for x
    x = 23,256,763.43/5,287.02
  6. Step 6: Final answer
    x = 4,398.84

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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.