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Finding the Fourth Proportional to 4,911, 7,369.76 and 1,833

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Solution

The fourth proportional to 4,911, 7,369.76 and 1,833 is: 2,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911 : 7,369.76 = 1,833 : x
  2. Step 2: Convert to fraction form
    4,911/7,369.76 = 1,833/x
  3. Step 3: Cross multiply
    4,911x = 7,369.76 × 1,833
  4. Step 4: Simplify right side
    4,911x = 13,508,770.08
  5. Step 5: Solve for x
    x = 13,508,770.08/4,911
  6. Step 6: Final answer
    x = 2,750.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.