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Finding the Fourth Proportional to 4,938.88, 6,816 and 2,949.16

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Solution

The fourth proportional to 4,938.88, 6,816 and 2,949.16 is: 4,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.88 : 6,816 = 2,949.16 : x
  2. Step 2: Convert to fraction form
    4,938.88/6,816 = 2,949.16/x
  3. Step 3: Cross multiply
    4,938.88x = 6,816 × 2,949.16
  4. Step 4: Simplify right side
    4,938.88x = 20,101,474.56
  5. Step 5: Solve for x
    x = 20,101,474.56/4,938.88
  6. Step 6: Final answer
    x = 4,070.05

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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.