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Finding the Fourth Proportional to 3,489.84, 4,815.94 and 1,917.90

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Solution

The fourth proportional to 3,489.84, 4,815.94 and 1,917.90 is: 2,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.84 : 4,815.94 = 1,917.90 : x
  2. Step 2: Convert to fraction form
    3,489.84/4,815.94 = 1,917.90/x
  3. Step 3: Cross multiply
    3,489.84x = 4,815.94 × 1,917.90
  4. Step 4: Simplify right side
    3,489.84x = 9,236,491.33
  5. Step 5: Solve for x
    x = 9,236,491.33/3,489.84
  6. Step 6: Final answer
    x = 2,646.68

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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.