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Finding the Fourth Proportional to 3,477, 4,798.26 and 1,905.15

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Solution

The fourth proportional to 3,477, 4,798.26 and 1,905.15 is: 2,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477 : 4,798.26 = 1,905.15 : x
  2. Step 2: Convert to fraction form
    3,477/4,798.26 = 1,905.15/x
  3. Step 3: Cross multiply
    3,477x = 4,798.26 × 1,905.15
  4. Step 4: Simplify right side
    3,477x = 9,141,405.04
  5. Step 5: Solve for x
    x = 9,141,405.04/3,477
  6. Step 6: Final answer
    x = 2,629.11

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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.