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Finding the Fourth Proportional to 5,511.34, 7,590 and 4,847.95

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Solution

The fourth proportional to 5,511.34, 7,590 and 4,847.95 is: 6,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.34 : 7,590 = 4,847.95 : x
  2. Step 2: Convert to fraction form
    5,511.34/7,590 = 4,847.95/x
  3. Step 3: Cross multiply
    5,511.34x = 7,590 × 4,847.95
  4. Step 4: Simplify right side
    5,511.34x = 36,795,940.50
  5. Step 5: Solve for x
    x = 36,795,940.50/5,511.34
  6. Step 6: Final answer
    x = 6,676.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.