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Finding the Fourth Proportional to 4,778.63, 7,169.76 and 1,857.16

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Solution

The fourth proportional to 4,778.63, 7,169.76 and 1,857.16 is: 2,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.63 : 7,169.76 = 1,857.16 : x
  2. Step 2: Convert to fraction form
    4,778.63/7,169.76 = 1,857.16/x
  3. Step 3: Cross multiply
    4,778.63x = 7,169.76 × 1,857.16
  4. Step 4: Simplify right side
    4,778.63x = 13,315,373.56
  5. Step 5: Solve for x
    x = 13,315,373.56/4,778.63
  6. Step 6: Final answer
    x = 2,786.44

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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.