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Finding the Fourth Proportional to 4,189.47, 6,284.49 and 1,267.99

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Solution

The fourth proportional to 4,189.47, 6,284.49 and 1,267.99 is: 1,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.47 : 6,284.49 = 1,267.99 : x
  2. Step 2: Convert to fraction form
    4,189.47/6,284.49 = 1,267.99/x
  3. Step 3: Cross multiply
    4,189.47x = 6,284.49 × 1,267.99
  4. Step 4: Simplify right side
    4,189.47x = 7,968,670.48
  5. Step 5: Solve for x
    x = 7,968,670.48/4,189.47
  6. Step 6: Final answer
    x = 1,902.07

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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.