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Finding the Fourth Proportional to 4,074.50, 6,074.70 and 3,826.64

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Solution

The fourth proportional to 4,074.50, 6,074.70 and 3,826.64 is: 5,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.50 : 6,074.70 = 3,826.64 : x
  2. Step 2: Convert to fraction form
    4,074.50/6,074.70 = 3,826.64/x
  3. Step 3: Cross multiply
    4,074.50x = 6,074.70 × 3,826.64
  4. Step 4: Simplify right side
    4,074.50x = 23,245,690.01
  5. Step 5: Solve for x
    x = 23,245,690.01/4,074.50
  6. Step 6: Final answer
    x = 5,705.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.