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Finding the Fourth Proportional to 4,578.09, 6,867.57 and 1,291.20

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Solution

The fourth proportional to 4,578.09, 6,867.57 and 1,291.20 is: 1,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.09 : 6,867.57 = 1,291.20 : x
  2. Step 2: Convert to fraction form
    4,578.09/6,867.57 = 1,291.20/x
  3. Step 3: Cross multiply
    4,578.09x = 6,867.57 × 1,291.20
  4. Step 4: Simplify right side
    4,578.09x = 8,867,406.38
  5. Step 5: Solve for x
    x = 8,867,406.38/4,578.09
  6. Step 6: Final answer
    x = 1,936.92

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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.