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Finding the Fourth Proportional to 3,477, 4,800.78 and 2,237.16

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Solution

The fourth proportional to 3,477, 4,800.78 and 2,237.16 is: 3,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477 : 4,800.78 = 2,237.16 : x
  2. Step 2: Convert to fraction form
    3,477/4,800.78 = 2,237.16/x
  3. Step 3: Cross multiply
    3,477x = 4,800.78 × 2,237.16
  4. Step 4: Simplify right side
    3,477x = 10,740,112.98
  5. Step 5: Solve for x
    x = 10,740,112.98/3,477
  6. Step 6: Final answer
    x = 3,088.90

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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.