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Finding the Fourth Proportional to 5,937.84, 8,906.58 and 2,475

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Solution

The fourth proportional to 5,937.84, 8,906.58 and 2,475 is: 3,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.84 : 8,906.58 = 2,475 : x
  2. Step 2: Convert to fraction form
    5,937.84/8,906.58 = 2,475/x
  3. Step 3: Cross multiply
    5,937.84x = 8,906.58 × 2,475
  4. Step 4: Simplify right side
    5,937.84x = 22,043,785.50
  5. Step 5: Solve for x
    x = 22,043,785.50/5,937.84
  6. Step 6: Final answer
    x = 3,712.42

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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.