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Finding the Fourth Proportional to 4,190.58, 6,287.49 and 1,999.53

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Solution

The fourth proportional to 4,190.58, 6,287.49 and 1,999.53 is: 3,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.58 : 6,287.49 = 1,999.53 : x
  2. Step 2: Convert to fraction form
    4,190.58/6,287.49 = 1,999.53/x
  3. Step 3: Cross multiply
    4,190.58x = 6,287.49 × 1,999.53
  4. Step 4: Simplify right side
    4,190.58x = 12,572,024.88
  5. Step 5: Solve for x
    x = 12,572,024.88/4,190.58
  6. Step 6: Final answer
    x = 3,000.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.