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Finding the Fourth Proportional to 4,193.71, 6,291.47 and 1,272.25

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Solution

The fourth proportional to 4,193.71, 6,291.47 and 1,272.25 is: 1,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.71 : 6,291.47 = 1,272.25 : x
  2. Step 2: Convert to fraction form
    4,193.71/6,291.47 = 1,272.25/x
  3. Step 3: Cross multiply
    4,193.71x = 6,291.47 × 1,272.25
  4. Step 4: Simplify right side
    4,193.71x = 8,004,322.71
  5. Step 5: Solve for x
    x = 8,004,322.71/4,193.71
  6. Step 6: Final answer
    x = 1,908.65

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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.