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Finding the Fourth Proportional to 6,093.24, 8,409.06 and 3,439.68

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Solution

The fourth proportional to 6,093.24, 8,409.06 and 3,439.68 is: 4,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.24 : 8,409.06 = 3,439.68 : x
  2. Step 2: Convert to fraction form
    6,093.24/8,409.06 = 3,439.68/x
  3. Step 3: Cross multiply
    6,093.24x = 8,409.06 × 3,439.68
  4. Step 4: Simplify right side
    6,093.24x = 28,924,475.50
  5. Step 5: Solve for x
    x = 28,924,475.50/6,093.24
  6. Step 6: Final answer
    x = 4,746.98

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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.