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Finding the Fourth Proportional to 3,340, 5,009.97 and 1,365.21

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Solution

The fourth proportional to 3,340, 5,009.97 and 1,365.21 is: 2,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340 : 5,009.97 = 1,365.21 : x
  2. Step 2: Convert to fraction form
    3,340/5,009.97 = 1,365.21/x
  3. Step 3: Cross multiply
    3,340x = 5,009.97 × 1,365.21
  4. Step 4: Simplify right side
    3,340x = 6,839,661.14
  5. Step 5: Solve for x
    x = 6,839,661.14/3,340
  6. Step 6: Final answer
    x = 2,047.80

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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.