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Finding the Fourth Proportional to 3,410.38, 4,706.58 and 1,994.50

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Solution

The fourth proportional to 3,410.38, 4,706.58 and 1,994.50 is: 2,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.38 : 4,706.58 = 1,994.50 : x
  2. Step 2: Convert to fraction form
    3,410.38/4,706.58 = 1,994.50/x
  3. Step 3: Cross multiply
    3,410.38x = 4,706.58 × 1,994.50
  4. Step 4: Simplify right side
    3,410.38x = 9,387,273.81
  5. Step 5: Solve for x
    x = 9,387,273.81/3,410.38
  6. Step 6: Final answer
    x = 2,752.56

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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.