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Finding the Fourth Proportional to 4,183.88, 5,774 and 2,415.60

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Solution

The fourth proportional to 4,183.88, 5,774 and 2,415.60 is: 3,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.88 : 5,774 = 2,415.60 : x
  2. Step 2: Convert to fraction form
    4,183.88/5,774 = 2,415.60/x
  3. Step 3: Cross multiply
    4,183.88x = 5,774 × 2,415.60
  4. Step 4: Simplify right side
    4,183.88x = 13,947,674.40
  5. Step 5: Solve for x
    x = 13,947,674.40/4,183.88
  6. Step 6: Final answer
    x = 3,333.67

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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.