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Finding the Fourth Proportional to 4,911.53, 6,780.24 and 3,144.16

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Solution

The fourth proportional to 4,911.53, 6,780.24 and 3,144.16 is: 4,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.53 : 6,780.24 = 3,144.16 : x
  2. Step 2: Convert to fraction form
    4,911.53/6,780.24 = 3,144.16/x
  3. Step 3: Cross multiply
    4,911.53x = 6,780.24 × 3,144.16
  4. Step 4: Simplify right side
    4,911.53x = 21,318,159.40
  5. Step 5: Solve for x
    x = 21,318,159.40/4,911.53
  6. Step 6: Final answer
    x = 4,340.43

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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.