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Finding the Fourth Proportional to 3,907.24, 5,385.94 and 2,911

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Solution

The fourth proportional to 3,907.24, 5,385.94 and 2,911 is: 4,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.24 : 5,385.94 = 2,911 : x
  2. Step 2: Convert to fraction form
    3,907.24/5,385.94 = 2,911/x
  3. Step 3: Cross multiply
    3,907.24x = 5,385.94 × 2,911
  4. Step 4: Simplify right side
    3,907.24x = 15,678,471.34
  5. Step 5: Solve for x
    x = 15,678,471.34/3,907.24
  6. Step 6: Final answer
    x = 4,012.67

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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.