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Finding the Fourth Proportional to 6,091.37, 8,406.48 and 3,437.81

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Solution

The fourth proportional to 6,091.37, 8,406.48 and 3,437.81 is: 4,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.37 : 8,406.48 = 3,437.81 : x
  2. Step 2: Convert to fraction form
    6,091.37/8,406.48 = 3,437.81/x
  3. Step 3: Cross multiply
    6,091.37x = 8,406.48 × 3,437.81
  4. Step 4: Simplify right side
    6,091.37x = 28,899,838.98
  5. Step 5: Solve for x
    x = 28,899,838.98/6,091.37
  6. Step 6: Final answer
    x = 4,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.