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Finding the Fourth Proportional to 3,564.86, 4,922.54 and 2,679.14

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Solution

The fourth proportional to 3,564.86, 4,922.54 and 2,679.14 is: 3,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.86 : 4,922.54 = 2,679.14 : x
  2. Step 2: Convert to fraction form
    3,564.86/4,922.54 = 2,679.14/x
  3. Step 3: Cross multiply
    3,564.86x = 4,922.54 × 2,679.14
  4. Step 4: Simplify right side
    3,564.86x = 13,188,173.82
  5. Step 5: Solve for x
    x = 13,188,173.82/3,564.86
  6. Step 6: Final answer
    x = 3,699.49

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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.