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Finding the Fourth Proportional to 3,985.76, 5,978.63 and 1,212.42

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Solution

The fourth proportional to 3,985.76, 5,978.63 and 1,212.42 is: 1,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.76 : 5,978.63 = 1,212.42 : x
  2. Step 2: Convert to fraction form
    3,985.76/5,978.63 = 1,212.42/x
  3. Step 3: Cross multiply
    3,985.76x = 5,978.63 × 1,212.42
  4. Step 4: Simplify right side
    3,985.76x = 7,248,610.58
  5. Step 5: Solve for x
    x = 7,248,610.58/3,985.76
  6. Step 6: Final answer
    x = 1,818.63

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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.