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Finding the Fourth Proportional to 3,978,406.86, 5,967,652.14 and 3,184,733.76

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Solution

The fourth proportional to 3,978,406.86, 5,967,652.14 and 3,184,733.76 is: 4,777,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,406.86 : 5,967,652.14 = 3,184,733.76 : x
  2. Step 2: Convert to fraction form
    3,978,406.86/5,967,652.14 = 3,184,733.76/x
  3. Step 3: Cross multiply
    3,978,406.86x = 5,967,652.14 × 3,184,733.76
  4. Step 4: Simplify right side
    3,978,406.86x = 19,005,383,238,194.24
  5. Step 5: Solve for x
    x = 19,005,383,238,194.24/3,978,406.86
  6. Step 6: Final answer
    x = 4,777,134.14

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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.