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Finding the Fourth Proportional to 4,949.74, 7,423.67 and 2,483.89

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Solution

The fourth proportional to 4,949.74, 7,423.67 and 2,483.89 is: 3,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.74 : 7,423.67 = 2,483.89 : x
  2. Step 2: Convert to fraction form
    4,949.74/7,423.67 = 2,483.89/x
  3. Step 3: Cross multiply
    4,949.74x = 7,423.67 × 2,483.89
  4. Step 4: Simplify right side
    4,949.74x = 18,439,607.55
  5. Step 5: Solve for x
    x = 18,439,607.55/4,949.74
  6. Step 6: Final answer
    x = 3,725.37

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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.