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Finding the Fourth Proportional to 3,486.39, 4,809.96 and 2,337

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Solution

The fourth proportional to 3,486.39, 4,809.96 and 2,337 is: 3,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.39 : 4,809.96 = 2,337 : x
  2. Step 2: Convert to fraction form
    3,486.39/4,809.96 = 2,337/x
  3. Step 3: Cross multiply
    3,486.39x = 4,809.96 × 2,337
  4. Step 4: Simplify right side
    3,486.39x = 11,240,876.52
  5. Step 5: Solve for x
    x = 11,240,876.52/3,486.39
  6. Step 6: Final answer
    x = 3,224.22

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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.