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Finding the Fourth Proportional to 5,657.87, 8,466.74 and 4,173.58

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Solution

The fourth proportional to 5,657.87, 8,466.74 and 4,173.58 is: 6,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.87 : 8,466.74 = 4,173.58 : x
  2. Step 2: Convert to fraction form
    5,657.87/8,466.74 = 4,173.58/x
  3. Step 3: Cross multiply
    5,657.87x = 8,466.74 × 4,173.58
  4. Step 4: Simplify right side
    5,657.87x = 35,336,616.73
  5. Step 5: Solve for x
    x = 35,336,616.73/5,657.87
  6. Step 6: Final answer
    x = 6,245.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.