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Finding the Fourth Proportional to 4,778.19, 7,168.64 and 1,857.33

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Solution

The fourth proportional to 4,778.19, 7,168.64 and 1,857.33 is: 2,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.19 : 7,168.64 = 1,857.33 : x
  2. Step 2: Convert to fraction form
    4,778.19/7,168.64 = 1,857.33/x
  3. Step 3: Cross multiply
    4,778.19x = 7,168.64 × 1,857.33
  4. Step 4: Simplify right side
    4,778.19x = 13,314,520.84
  5. Step 5: Solve for x
    x = 13,314,520.84/4,778.19
  6. Step 6: Final answer
    x = 2,786.52

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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.