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Finding the Fourth Proportional to 5,180.50, 7,770.81 and 1,284.94

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Solution

The fourth proportional to 5,180.50, 7,770.81 and 1,284.94 is: 1,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.50 : 7,770.81 = 1,284.94 : x
  2. Step 2: Convert to fraction form
    5,180.50/7,770.81 = 1,284.94/x
  3. Step 3: Cross multiply
    5,180.50x = 7,770.81 × 1,284.94
  4. Step 4: Simplify right side
    5,180.50x = 9,985,024.60
  5. Step 5: Solve for x
    x = 9,985,024.60/5,180.50
  6. Step 6: Final answer
    x = 1,927.42

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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.