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Finding the Fourth Proportional to 5,205.22, 7,795.56 and 4,517.50

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Solution

The fourth proportional to 5,205.22, 7,795.56 and 4,517.50 is: 6,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.22 : 7,795.56 = 4,517.50 : x
  2. Step 2: Convert to fraction form
    5,205.22/7,795.56 = 4,517.50/x
  3. Step 3: Cross multiply
    5,205.22x = 7,795.56 × 4,517.50
  4. Step 4: Simplify right side
    5,205.22x = 35,216,442.30
  5. Step 5: Solve for x
    x = 35,216,442.30/5,205.22
  6. Step 6: Final answer
    x = 6,765.60

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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.