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Finding the Fourth Proportional to 7,237.84, 10,857 and 2,308

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Solution

The fourth proportional to 7,237.84, 10,857 and 2,308 is: 3,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.84 : 10,857 = 2,308 : x
  2. Step 2: Convert to fraction form
    7,237.84/10,857 = 2,308/x
  3. Step 3: Cross multiply
    7,237.84x = 10,857 × 2,308
  4. Step 4: Simplify right side
    7,237.84x = 25,057,956
  5. Step 5: Solve for x
    x = 25,057,956/7,237.84
  6. Step 6: Final answer
    x = 3,462.08

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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.