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Finding the Fourth Proportional to 4,189.53, 6,285.41 and 1,267.93

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Solution

The fourth proportional to 4,189.53, 6,285.41 and 1,267.93 is: 1,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.53 : 6,285.41 = 1,267.93 : x
  2. Step 2: Convert to fraction form
    4,189.53/6,285.41 = 1,267.93/x
  3. Step 3: Cross multiply
    4,189.53x = 6,285.41 × 1,267.93
  4. Step 4: Simplify right side
    4,189.53x = 7,969,459.90
  5. Step 5: Solve for x
    x = 7,969,459.90/4,189.53
  6. Step 6: Final answer
    x = 1,902.23

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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.