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Finding the Fourth Proportional to 5,509.78, 8,266.02 and 2,584.69

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Solution

The fourth proportional to 5,509.78, 8,266.02 and 2,584.69 is: 3,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.78 : 8,266.02 = 2,584.69 : x
  2. Step 2: Convert to fraction form
    5,509.78/8,266.02 = 2,584.69/x
  3. Step 3: Cross multiply
    5,509.78x = 8,266.02 × 2,584.69
  4. Step 4: Simplify right side
    5,509.78x = 21,365,099.23
  5. Step 5: Solve for x
    x = 21,365,099.23/5,509.78
  6. Step 6: Final answer
    x = 3,877.67

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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.