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Finding the Fourth Proportional to 4,911.24, 7,366.62 and 1,833

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Solution

The fourth proportional to 4,911.24, 7,366.62 and 1,833 is: 2,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.24 : 7,366.62 = 1,833 : x
  2. Step 2: Convert to fraction form
    4,911.24/7,366.62 = 1,833/x
  3. Step 3: Cross multiply
    4,911.24x = 7,366.62 × 1,833
  4. Step 4: Simplify right side
    4,911.24x = 13,503,014.46
  5. Step 5: Solve for x
    x = 13,503,014.46/4,911.24
  6. Step 6: Final answer
    x = 2,749.41

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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.