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Finding the Fourth Proportional to 4,786.86, 6,601.41 and 3,106.47

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Solution

The fourth proportional to 4,786.86, 6,601.41 and 3,106.47 is: 4,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.86 : 6,601.41 = 3,106.47 : x
  2. Step 2: Convert to fraction form
    4,786.86/6,601.41 = 3,106.47/x
  3. Step 3: Cross multiply
    4,786.86x = 6,601.41 × 3,106.47
  4. Step 4: Simplify right side
    4,786.86x = 20,507,082.12
  5. Step 5: Solve for x
    x = 20,507,082.12/4,786.86
  6. Step 6: Final answer
    x = 4,284.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.