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Finding the Fourth Proportional to 5,682.20, 7,842.69 and 3,165.20

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Solution

The fourth proportional to 5,682.20, 7,842.69 and 3,165.20 is: 4,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.20 : 7,842.69 = 3,165.20 : x
  2. Step 2: Convert to fraction form
    5,682.20/7,842.69 = 3,165.20/x
  3. Step 3: Cross multiply
    5,682.20x = 7,842.69 × 3,165.20
  4. Step 4: Simplify right side
    5,682.20x = 24,823,643.17
  5. Step 5: Solve for x
    x = 24,823,643.17/5,682.20
  6. Step 6: Final answer
    x = 4,368.67

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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.