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Finding the Fourth Proportional to 4,161.84, 5,743.32 and 2,298.84

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Solution

The fourth proportional to 4,161.84, 5,743.32 and 2,298.84 is: 3,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.84 : 5,743.32 = 2,298.84 : x
  2. Step 2: Convert to fraction form
    4,161.84/5,743.32 = 2,298.84/x
  3. Step 3: Cross multiply
    4,161.84x = 5,743.32 × 2,298.84
  4. Step 4: Simplify right side
    4,161.84x = 13,202,973.75
  5. Step 5: Solve for x
    x = 13,202,973.75/4,161.84
  6. Step 6: Final answer
    x = 3,172.39

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Why These Related Problems?

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