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Finding the Fourth Proportional to 5,811.44, 8,022.76 and 4,482.16

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Solution

The fourth proportional to 5,811.44, 8,022.76 and 4,482.16 is: 6,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.44 : 8,022.76 = 4,482.16 : x
  2. Step 2: Convert to fraction form
    5,811.44/8,022.76 = 4,482.16/x
  3. Step 3: Cross multiply
    5,811.44x = 8,022.76 × 4,482.16
  4. Step 4: Simplify right side
    5,811.44x = 35,959,293.96
  5. Step 5: Solve for x
    x = 35,959,293.96/5,811.44
  6. Step 6: Final answer
    x = 6,187.67

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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.