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Finding the Fourth Proportional to 6,094.58, 8,410.66 and 3,441.84

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Solution

The fourth proportional to 6,094.58, 8,410.66 and 3,441.84 is: 4,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.58 : 8,410.66 = 3,441.84 : x
  2. Step 2: Convert to fraction form
    6,094.58/8,410.66 = 3,441.84/x
  3. Step 3: Cross multiply
    6,094.58x = 8,410.66 × 3,441.84
  4. Step 4: Simplify right side
    6,094.58x = 28,948,146.01
  5. Step 5: Solve for x
    x = 28,948,146.01/6,094.58
  6. Step 6: Final answer
    x = 4,749.82

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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.