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Finding the Fourth Proportional to 3,898,242.72, 5,848,198.74 and 1,166,004.72

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Solution

The fourth proportional to 3,898,242.72, 5,848,198.74 and 1,166,004.72 is: 1,749,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,242.72 : 5,848,198.74 = 1,166,004.72 : x
  2. Step 2: Convert to fraction form
    3,898,242.72/5,848,198.74 = 1,166,004.72/x
  3. Step 3: Cross multiply
    3,898,242.72x = 5,848,198.74 × 1,166,004.72
  4. Step 4: Simplify right side
    3,898,242.72x = 6,819,027,334,338.05
  5. Step 5: Solve for x
    x = 6,819,027,334,338.05/3,898,242.72
  6. Step 6: Final answer
    x = 1,749,256.74

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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.