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Finding the Fourth Proportional to 3,486, 4,810.53 and 1,993.86

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Solution

The fourth proportional to 3,486, 4,810.53 and 1,993.86 is: 2,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 4,810.53 = 1,993.86 : x
  2. Step 2: Convert to fraction form
    3,486/4,810.53 = 1,993.86/x
  3. Step 3: Cross multiply
    3,486x = 4,810.53 × 1,993.86
  4. Step 4: Simplify right side
    3,486x = 9,591,523.35
  5. Step 5: Solve for x
    x = 9,591,523.35/3,486
  6. Step 6: Final answer
    x = 2,751.44

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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.