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Finding the Fourth Proportional to 3,000.90, 4,138.09 and 2,582.67

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Solution

The fourth proportional to 3,000.90, 4,138.09 and 2,582.67 is: 3,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.90 : 4,138.09 = 2,582.67 : x
  2. Step 2: Convert to fraction form
    3,000.90/4,138.09 = 2,582.67/x
  3. Step 3: Cross multiply
    3,000.90x = 4,138.09 × 2,582.67
  4. Step 4: Simplify right side
    3,000.90x = 10,687,320.90
  5. Step 5: Solve for x
    x = 10,687,320.90/3,000.90
  6. Step 6: Final answer
    x = 3,561.37

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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.