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Finding the Fourth Proportional to 5,802.73, 8,704.44 and 1,643.05

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Solution

The fourth proportional to 5,802.73, 8,704.44 and 1,643.05 is: 2,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.73 : 8,704.44 = 1,643.05 : x
  2. Step 2: Convert to fraction form
    5,802.73/8,704.44 = 1,643.05/x
  3. Step 3: Cross multiply
    5,802.73x = 8,704.44 × 1,643.05
  4. Step 4: Simplify right side
    5,802.73x = 14,301,830.14
  5. Step 5: Solve for x
    x = 14,301,830.14/5,802.73
  6. Step 6: Final answer
    x = 2,464.67

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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.