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Finding the Fourth Proportional to 3,477, 4,798.28 and 1,905.24

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Solution

The fourth proportional to 3,477, 4,798.28 and 1,905.24 is: 2,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477 : 4,798.28 = 1,905.24 : x
  2. Step 2: Convert to fraction form
    3,477/4,798.28 = 1,905.24/x
  3. Step 3: Cross multiply
    3,477x = 4,798.28 × 1,905.24
  4. Step 4: Simplify right side
    3,477x = 9,141,874.99
  5. Step 5: Solve for x
    x = 9,141,874.99/3,477
  6. Step 6: Final answer
    x = 2,629.24

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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.