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Finding the Fourth Proportional to 6,091.78, 8,406.57 and 3,439.24

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Solution

The fourth proportional to 6,091.78, 8,406.57 and 3,439.24 is: 4,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.78 : 8,406.57 = 3,439.24 : x
  2. Step 2: Convert to fraction form
    6,091.78/8,406.57 = 3,439.24/x
  3. Step 3: Cross multiply
    6,091.78x = 8,406.57 × 3,439.24
  4. Step 4: Simplify right side
    6,091.78x = 28,912,211.81
  5. Step 5: Solve for x
    x = 28,912,211.81/6,091.78
  6. Step 6: Final answer
    x = 4,746.10

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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.