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Finding the Fourth Proportional to 3,898,277.72, 5,848,251.24 and 1,166,039.72

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Solution

The fourth proportional to 3,898,277.72, 5,848,251.24 and 1,166,039.72 is: 1,749,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,277.72 : 5,848,251.24 = 1,166,039.72 : x
  2. Step 2: Convert to fraction form
    3,898,277.72/5,848,251.24 = 1,166,039.72/x
  3. Step 3: Cross multiply
    3,898,277.72x = 5,848,251.24 × 1,166,039.72
  4. Step 4: Simplify right side
    3,898,277.72x = 6,819,293,238,379.25
  5. Step 5: Solve for x
    x = 6,819,293,238,379.25/3,898,277.72
  6. Step 6: Final answer
    x = 1,749,309.24

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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.