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Finding the Fourth Proportional to 3,768.39, 5,194.38 and 2,970.42

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Solution

The fourth proportional to 3,768.39, 5,194.38 and 2,970.42 is: 4,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.39 : 5,194.38 = 2,970.42 : x
  2. Step 2: Convert to fraction form
    3,768.39/5,194.38 = 2,970.42/x
  3. Step 3: Cross multiply
    3,768.39x = 5,194.38 × 2,970.42
  4. Step 4: Simplify right side
    3,768.39x = 15,429,474.47
  5. Step 5: Solve for x
    x = 15,429,474.47/3,768.39
  6. Step 6: Final answer
    x = 4,094.45

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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.