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Finding the Fourth Proportional to 3,985.51, 5,978.14 and 1,906.98

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Solution

The fourth proportional to 3,985.51, 5,978.14 and 1,906.98 is: 2,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.51 : 5,978.14 = 1,906.98 : x
  2. Step 2: Convert to fraction form
    3,985.51/5,978.14 = 1,906.98/x
  3. Step 3: Cross multiply
    3,985.51x = 5,978.14 × 1,906.98
  4. Step 4: Simplify right side
    3,985.51x = 11,400,193.42
  5. Step 5: Solve for x
    x = 11,400,193.42/3,985.51
  6. Step 6: Final answer
    x = 2,860.41

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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.