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Finding the Fourth Proportional to 3,486.85, 4,811.27 and 1,994.46

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Solution

The fourth proportional to 3,486.85, 4,811.27 and 1,994.46 is: 2,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.85 : 4,811.27 = 1,994.46 : x
  2. Step 2: Convert to fraction form
    3,486.85/4,811.27 = 1,994.46/x
  3. Step 3: Cross multiply
    3,486.85x = 4,811.27 × 1,994.46
  4. Step 4: Simplify right side
    3,486.85x = 9,595,857.55
  5. Step 5: Solve for x
    x = 9,595,857.55/3,486.85
  6. Step 6: Final answer
    x = 2,752.02

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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.