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Finding the Fourth Proportional to 4,342.92, 6,509.66 and 2,119.22

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Solution

The fourth proportional to 4,342.92, 6,509.66 and 2,119.22 is: 3,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.92 : 6,509.66 = 2,119.22 : x
  2. Step 2: Convert to fraction form
    4,342.92/6,509.66 = 2,119.22/x
  3. Step 3: Cross multiply
    4,342.92x = 6,509.66 × 2,119.22
  4. Step 4: Simplify right side
    4,342.92x = 13,795,401.67
  5. Step 5: Solve for x
    x = 13,795,401.67/4,342.92
  6. Step 6: Final answer
    x = 3,176.53

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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.