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Finding the Fourth Proportional to 4,664.83, 6,995.76 and 1,544.11

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Solution

The fourth proportional to 4,664.83, 6,995.76 and 1,544.11 is: 2,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.83 : 6,995.76 = 1,544.11 : x
  2. Step 2: Convert to fraction form
    4,664.83/6,995.76 = 1,544.11/x
  3. Step 3: Cross multiply
    4,664.83x = 6,995.76 × 1,544.11
  4. Step 4: Simplify right side
    4,664.83x = 10,802,222.97
  5. Step 5: Solve for x
    x = 10,802,222.97/4,664.83
  6. Step 6: Final answer
    x = 2,315.67

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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.