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Finding the Fourth Proportional to 6,094.90, 8,410.44 and 3,442.06

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Solution

The fourth proportional to 6,094.90, 8,410.44 and 3,442.06 is: 4,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.90 : 8,410.44 = 3,442.06 : x
  2. Step 2: Convert to fraction form
    6,094.90/8,410.44 = 3,442.06/x
  3. Step 3: Cross multiply
    6,094.90x = 8,410.44 × 3,442.06
  4. Step 4: Simplify right side
    6,094.90x = 28,949,239.11
  5. Step 5: Solve for x
    x = 28,949,239.11/6,094.90
  6. Step 6: Final answer
    x = 4,749.75

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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.