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Finding the Fourth Proportional to 3,447.57, 4,770.18 and 3,006.39

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Solution

The fourth proportional to 3,447.57, 4,770.18 and 3,006.39 is: 4,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.57 : 4,770.18 = 3,006.39 : x
  2. Step 2: Convert to fraction form
    3,447.57/4,770.18 = 3,006.39/x
  3. Step 3: Cross multiply
    3,447.57x = 4,770.18 × 3,006.39
  4. Step 4: Simplify right side
    3,447.57x = 14,341,021.45
  5. Step 5: Solve for x
    x = 14,341,021.45/3,447.57
  6. Step 6: Final answer
    x = 4,159.75

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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.