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Finding the Fourth Proportional to 5,778.36, 8,672.40 and 3,006

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Solution

The fourth proportional to 5,778.36, 8,672.40 and 3,006 is: 4,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.36 : 8,672.40 = 3,006 : x
  2. Step 2: Convert to fraction form
    5,778.36/8,672.40 = 3,006/x
  3. Step 3: Cross multiply
    5,778.36x = 8,672.40 × 3,006
  4. Step 4: Simplify right side
    5,778.36x = 26,069,234.40
  5. Step 5: Solve for x
    x = 26,069,234.40/5,778.36
  6. Step 6: Final answer
    x = 4,511.53

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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.