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Finding the Fourth Proportional to 4,086.93, 6,130.80 and 1,489.26

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Solution

The fourth proportional to 4,086.93, 6,130.80 and 1,489.26 is: 2,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.93 : 6,130.80 = 1,489.26 : x
  2. Step 2: Convert to fraction form
    4,086.93/6,130.80 = 1,489.26/x
  3. Step 3: Cross multiply
    4,086.93x = 6,130.80 × 1,489.26
  4. Step 4: Simplify right side
    4,086.93x = 9,130,355.21
  5. Step 5: Solve for x
    x = 9,130,355.21/4,086.93
  6. Step 6: Final answer
    x = 2,234.04

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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.