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Finding the Fourth Proportional to 6,094.61, 8,410.54 and 3,441.97

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Solution

The fourth proportional to 6,094.61, 8,410.54 and 3,441.97 is: 4,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.61 : 8,410.54 = 3,441.97 : x
  2. Step 2: Convert to fraction form
    6,094.61/8,410.54 = 3,441.97/x
  3. Step 3: Cross multiply
    6,094.61x = 8,410.54 × 3,441.97
  4. Step 4: Simplify right side
    6,094.61x = 28,948,826.36
  5. Step 5: Solve for x
    x = 28,948,826.36/6,094.61
  6. Step 6: Final answer
    x = 4,749.91

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