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Finding the Fourth Proportional to 6,094.99, 8,410.68 and 3,441.88

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Solution

The fourth proportional to 6,094.99, 8,410.68 and 3,441.88 is: 4,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.99 : 8,410.68 = 3,441.88 : x
  2. Step 2: Convert to fraction form
    6,094.99/8,410.68 = 3,441.88/x
  3. Step 3: Cross multiply
    6,094.99x = 8,410.68 × 3,441.88
  4. Step 4: Simplify right side
    6,094.99x = 28,948,551.28
  5. Step 5: Solve for x
    x = 28,948,551.28/6,094.99
  6. Step 6: Final answer
    x = 4,749.57

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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.