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Finding the Fourth Proportional to 5,168.84, 7,743.09 and 3,408.47

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Solution

The fourth proportional to 5,168.84, 7,743.09 and 3,408.47 is: 5,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.84 : 7,743.09 = 3,408.47 : x
  2. Step 2: Convert to fraction form
    5,168.84/7,743.09 = 3,408.47/x
  3. Step 3: Cross multiply
    5,168.84x = 7,743.09 × 3,408.47
  4. Step 4: Simplify right side
    5,168.84x = 26,392,051.26
  5. Step 5: Solve for x
    x = 26,392,051.26/5,168.84
  6. Step 6: Final answer
    x = 5,106.00

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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.