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Finding the Fourth Proportional to 3,370, 5,054.46 and 2,393.14

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Solution

The fourth proportional to 3,370, 5,054.46 and 2,393.14 is: 3,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370 : 5,054.46 = 2,393.14 : x
  2. Step 2: Convert to fraction form
    3,370/5,054.46 = 2,393.14/x
  3. Step 3: Cross multiply
    3,370x = 5,054.46 × 2,393.14
  4. Step 4: Simplify right side
    3,370x = 12,096,030.40
  5. Step 5: Solve for x
    x = 12,096,030.40/3,370
  6. Step 6: Final answer
    x = 3,589.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.