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Finding the Fourth Proportional to 4,711.90, 7,066.21 and 2,371

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Solution

The fourth proportional to 4,711.90, 7,066.21 and 2,371 is: 3,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.90 : 7,066.21 = 2,371 : x
  2. Step 2: Convert to fraction form
    4,711.90/7,066.21 = 2,371/x
  3. Step 3: Cross multiply
    4,711.90x = 7,066.21 × 2,371
  4. Step 4: Simplify right side
    4,711.90x = 16,753,983.91
  5. Step 5: Solve for x
    x = 16,753,983.91/4,711.90
  6. Step 6: Final answer
    x = 3,555.67

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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.