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Finding the Fourth Proportional to 4,780, 7,168.16 and 1,857.92

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Solution

The fourth proportional to 4,780, 7,168.16 and 1,857.92 is: 2,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780 : 7,168.16 = 1,857.92 : x
  2. Step 2: Convert to fraction form
    4,780/7,168.16 = 1,857.92/x
  3. Step 3: Cross multiply
    4,780x = 7,168.16 × 1,857.92
  4. Step 4: Simplify right side
    4,780x = 13,317,867.83
  5. Step 5: Solve for x
    x = 13,317,867.83/4,780
  6. Step 6: Final answer
    x = 2,786.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.