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Finding the Fourth Proportional to 3,717.62, 5,127.63 and 3,157.21

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Solution

The fourth proportional to 3,717.62, 5,127.63 and 3,157.21 is: 4,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.62 : 5,127.63 = 3,157.21 : x
  2. Step 2: Convert to fraction form
    3,717.62/5,127.63 = 3,157.21/x
  3. Step 3: Cross multiply
    3,717.62x = 5,127.63 × 3,157.21
  4. Step 4: Simplify right side
    3,717.62x = 16,189,004.71
  5. Step 5: Solve for x
    x = 16,189,004.71/3,717.62
  6. Step 6: Final answer
    x = 4,354.67

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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.