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Finding the Fourth Proportional to 4,896, 6,756.48 and 2,688

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Solution

The fourth proportional to 4,896, 6,756.48 and 2,688 is: 3,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 6,756.48 = 2,688 : x
  2. Step 2: Convert to fraction form
    4,896/6,756.48 = 2,688/x
  3. Step 3: Cross multiply
    4,896x = 6,756.48 × 2,688
  4. Step 4: Simplify right side
    4,896x = 18,161,418.24
  5. Step 5: Solve for x
    x = 18,161,418.24/4,896
  6. Step 6: Final answer
    x = 3,709.44

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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.