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Finding the Fourth Proportional to 4,189.47, 6,284.81 and 1,267.47

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Solution

The fourth proportional to 4,189.47, 6,284.81 and 1,267.47 is: 1,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.47 : 6,284.81 = 1,267.47 : x
  2. Step 2: Convert to fraction form
    4,189.47/6,284.81 = 1,267.47/x
  3. Step 3: Cross multiply
    4,189.47x = 6,284.81 × 1,267.47
  4. Step 4: Simplify right side
    4,189.47x = 7,965,801.79
  5. Step 5: Solve for x
    x = 7,965,801.79/4,189.47
  6. Step 6: Final answer
    x = 1,901.39

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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.