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Finding the Fourth Proportional to 4,788, 7,184.16 and 2,736

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Solution

The fourth proportional to 4,788, 7,184.16 and 2,736 is: 4,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788 : 7,184.16 = 2,736 : x
  2. Step 2: Convert to fraction form
    4,788/7,184.16 = 2,736/x
  3. Step 3: Cross multiply
    4,788x = 7,184.16 × 2,736
  4. Step 4: Simplify right side
    4,788x = 19,655,861.76
  5. Step 5: Solve for x
    x = 19,655,861.76/4,788
  6. Step 6: Final answer
    x = 4,105.23

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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.