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Finding the Fourth Proportional to 4,991.79, 7,483.52 and 2,770.50

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Solution

The fourth proportional to 4,991.79, 7,483.52 and 2,770.50 is: 4,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.79 : 7,483.52 = 2,770.50 : x
  2. Step 2: Convert to fraction form
    4,991.79/7,483.52 = 2,770.50/x
  3. Step 3: Cross multiply
    4,991.79x = 7,483.52 × 2,770.50
  4. Step 4: Simplify right side
    4,991.79x = 20,733,078.31
  5. Step 5: Solve for x
    x = 20,733,078.31/4,991.79
  6. Step 6: Final answer
    x = 4,153.44

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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.