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Finding the Fourth Proportional to 4,189.51, 6,284.13 and 1,267.57

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Solution

The fourth proportional to 4,189.51, 6,284.13 and 1,267.57 is: 1,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.51 : 6,284.13 = 1,267.57 : x
  2. Step 2: Convert to fraction form
    4,189.51/6,284.13 = 1,267.57/x
  3. Step 3: Cross multiply
    4,189.51x = 6,284.13 × 1,267.57
  4. Step 4: Simplify right side
    4,189.51x = 7,965,574.66
  5. Step 5: Solve for x
    x = 7,965,574.66/4,189.51
  6. Step 6: Final answer
    x = 1,901.31

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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.