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Finding the Fourth Proportional to 3,390.94, 5,089.01 and 1,517.41

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Solution

The fourth proportional to 3,390.94, 5,089.01 and 1,517.41 is: 2,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.94 : 5,089.01 = 1,517.41 : x
  2. Step 2: Convert to fraction form
    3,390.94/5,089.01 = 1,517.41/x
  3. Step 3: Cross multiply
    3,390.94x = 5,089.01 × 1,517.41
  4. Step 4: Simplify right side
    3,390.94x = 7,722,081.63
  5. Step 5: Solve for x
    x = 7,722,081.63/3,390.94
  6. Step 6: Final answer
    x = 2,277.27

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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.