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Finding the Fourth Proportional to 3,456.60, 4,770.03 and 1,884.66

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Solution

The fourth proportional to 3,456.60, 4,770.03 and 1,884.66 is: 2,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.60 : 4,770.03 = 1,884.66 : x
  2. Step 2: Convert to fraction form
    3,456.60/4,770.03 = 1,884.66/x
  3. Step 3: Cross multiply
    3,456.60x = 4,770.03 × 1,884.66
  4. Step 4: Simplify right side
    3,456.60x = 8,989,884.74
  5. Step 5: Solve for x
    x = 8,989,884.74/3,456.60
  6. Step 6: Final answer
    x = 2,600.79

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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.