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Finding the Fourth Proportional to 6,095.10, 8,410.20 and 3,442.20

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Solution

The fourth proportional to 6,095.10, 8,410.20 and 3,442.20 is: 4,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.10 : 8,410.20 = 3,442.20 : x
  2. Step 2: Convert to fraction form
    6,095.10/8,410.20 = 3,442.20/x
  3. Step 3: Cross multiply
    6,095.10x = 8,410.20 × 3,442.20
  4. Step 4: Simplify right side
    6,095.10x = 28,949,590.44
  5. Step 5: Solve for x
    x = 28,949,590.44/6,095.10
  6. Step 6: Final answer
    x = 4,749.65

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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.