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Finding the Fourth Proportional to 4,794.24, 7,187.52 and 1,872

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Solution

The fourth proportional to 4,794.24, 7,187.52 and 1,872 is: 2,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.24 : 7,187.52 = 1,872 : x
  2. Step 2: Convert to fraction form
    4,794.24/7,187.52 = 1,872/x
  3. Step 3: Cross multiply
    4,794.24x = 7,187.52 × 1,872
  4. Step 4: Simplify right side
    4,794.24x = 13,455,037.44
  5. Step 5: Solve for x
    x = 13,455,037.44/4,794.24
  6. Step 6: Final answer
    x = 2,806.50

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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.