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Finding the Fourth Proportional to 5,192.58, 7,165.47 and 2,834.67

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Solution

The fourth proportional to 5,192.58, 7,165.47 and 2,834.67 is: 3,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.58 : 7,165.47 = 2,834.67 : x
  2. Step 2: Convert to fraction form
    5,192.58/7,165.47 = 2,834.67/x
  3. Step 3: Cross multiply
    5,192.58x = 7,165.47 × 2,834.67
  4. Step 4: Simplify right side
    5,192.58x = 20,311,742.84
  5. Step 5: Solve for x
    x = 20,311,742.84/5,192.58
  6. Step 6: Final answer
    x = 3,911.69

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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.