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Finding the Fourth Proportional to 5,802.11, 8,695.37 and 3,165.67

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Solution

The fourth proportional to 5,802.11, 8,695.37 and 3,165.67 is: 4,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.11 : 8,695.37 = 3,165.67 : x
  2. Step 2: Convert to fraction form
    5,802.11/8,695.37 = 3,165.67/x
  3. Step 3: Cross multiply
    5,802.11x = 8,695.37 × 3,165.67
  4. Step 4: Simplify right side
    5,802.11x = 27,526,632.92
  5. Step 5: Solve for x
    x = 27,526,632.92/5,802.11
  6. Step 6: Final answer
    x = 4,744.24

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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.