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Finding the Fourth Proportional to 3,506.75, 4,839.10 and 1,913.41

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Solution

The fourth proportional to 3,506.75, 4,839.10 and 1,913.41 is: 2,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.75 : 4,839.10 = 1,913.41 : x
  2. Step 2: Convert to fraction form
    3,506.75/4,839.10 = 1,913.41/x
  3. Step 3: Cross multiply
    3,506.75x = 4,839.10 × 1,913.41
  4. Step 4: Simplify right side
    3,506.75x = 9,259,182.33
  5. Step 5: Solve for x
    x = 9,259,182.33/3,506.75
  6. Step 6: Final answer
    x = 2,640.39

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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.