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Finding the Fourth Proportional to 4,843.68, 7,264.41 and 2,376

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Solution

The fourth proportional to 4,843.68, 7,264.41 and 2,376 is: 3,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.68 : 7,264.41 = 2,376 : x
  2. Step 2: Convert to fraction form
    4,843.68/7,264.41 = 2,376/x
  3. Step 3: Cross multiply
    4,843.68x = 7,264.41 × 2,376
  4. Step 4: Simplify right side
    4,843.68x = 17,260,238.16
  5. Step 5: Solve for x
    x = 17,260,238.16/4,843.68
  6. Step 6: Final answer
    x = 3,563.46

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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.