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Finding the Fourth Proportional to 3,466.53, 5,195.27 and 3,026.67

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Solution

The fourth proportional to 3,466.53, 5,195.27 and 3,026.67 is: 4,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.53 : 5,195.27 = 3,026.67 : x
  2. Step 2: Convert to fraction form
    3,466.53/5,195.27 = 3,026.67/x
  3. Step 3: Cross multiply
    3,466.53x = 5,195.27 × 3,026.67
  4. Step 4: Simplify right side
    3,466.53x = 15,724,352.72
  5. Step 5: Solve for x
    x = 15,724,352.72/3,466.53
  6. Step 6: Final answer
    x = 4,536.05

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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.