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Finding the Fourth Proportional to 5,141.32, 7,707.11 and 2,221.67

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Solution

The fourth proportional to 5,141.32, 7,707.11 and 2,221.67 is: 3,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.32 : 7,707.11 = 2,221.67 : x
  2. Step 2: Convert to fraction form
    5,141.32/7,707.11 = 2,221.67/x
  3. Step 3: Cross multiply
    5,141.32x = 7,707.11 × 2,221.67
  4. Step 4: Simplify right side
    5,141.32x = 17,122,655.07
  5. Step 5: Solve for x
    x = 17,122,655.07/5,141.32
  6. Step 6: Final answer
    x = 3,330.40

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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.