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Finding the Fourth Proportional to 3,647.99, 5,466.73 and 1,567.45

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Solution

The fourth proportional to 3,647.99, 5,466.73 and 1,567.45 is: 2,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.99 : 5,466.73 = 1,567.45 : x
  2. Step 2: Convert to fraction form
    3,647.99/5,466.73 = 1,567.45/x
  3. Step 3: Cross multiply
    3,647.99x = 5,466.73 × 1,567.45
  4. Step 4: Simplify right side
    3,647.99x = 8,568,825.94
  5. Step 5: Solve for x
    x = 8,568,825.94/3,647.99
  6. Step 6: Final answer
    x = 2,348.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.