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Finding the Fourth Proportional to 5,636.36, 7,770.75 and 4,624.36

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Solution

The fourth proportional to 5,636.36, 7,770.75 and 4,624.36 is: 6,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.36 : 7,770.75 = 4,624.36 : x
  2. Step 2: Convert to fraction form
    5,636.36/7,770.75 = 4,624.36/x
  3. Step 3: Cross multiply
    5,636.36x = 7,770.75 × 4,624.36
  4. Step 4: Simplify right side
    5,636.36x = 35,934,745.47
  5. Step 5: Solve for x
    x = 35,934,745.47/5,636.36
  6. Step 6: Final answer
    x = 6,375.52

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