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Finding the Fourth Proportional to 4,996, 6,894.48 and 2,788

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Solution

The fourth proportional to 4,996, 6,894.48 and 2,788 is: 3,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996 : 6,894.48 = 2,788 : x
  2. Step 2: Convert to fraction form
    4,996/6,894.48 = 2,788/x
  3. Step 3: Cross multiply
    4,996x = 6,894.48 × 2,788
  4. Step 4: Simplify right side
    4,996x = 19,221,810.24
  5. Step 5: Solve for x
    x = 19,221,810.24/4,996
  6. Step 6: Final answer
    x = 3,847.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.