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Finding the Fourth Proportional to 3,673.18, 5,069 and 1,994.60

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Solution

The fourth proportional to 3,673.18, 5,069 and 1,994.60 is: 2,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.18 : 5,069 = 1,994.60 : x
  2. Step 2: Convert to fraction form
    3,673.18/5,069 = 1,994.60/x
  3. Step 3: Cross multiply
    3,673.18x = 5,069 × 1,994.60
  4. Step 4: Simplify right side
    3,673.18x = 10,110,627.40
  5. Step 5: Solve for x
    x = 10,110,627.40/3,673.18
  6. Step 6: Final answer
    x = 2,752.55

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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.