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Finding the Fourth Proportional to 3,740.61, 5,164.14 and 2,942.35

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Solution

The fourth proportional to 3,740.61, 5,164.14 and 2,942.35 is: 4,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.61 : 5,164.14 = 2,942.35 : x
  2. Step 2: Convert to fraction form
    3,740.61/5,164.14 = 2,942.35/x
  3. Step 3: Cross multiply
    3,740.61x = 5,164.14 × 2,942.35
  4. Step 4: Simplify right side
    3,740.61x = 15,194,707.33
  5. Step 5: Solve for x
    x = 15,194,707.33/3,740.61
  6. Step 6: Final answer
    x = 4,062.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.