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Finding the Fourth Proportional to 5,762.41, 8,643.75 and 2,252.26

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Solution

The fourth proportional to 5,762.41, 8,643.75 and 2,252.26 is: 3,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.41 : 8,643.75 = 2,252.26 : x
  2. Step 2: Convert to fraction form
    5,762.41/8,643.75 = 2,252.26/x
  3. Step 3: Cross multiply
    5,762.41x = 8,643.75 × 2,252.26
  4. Step 4: Simplify right side
    5,762.41x = 19,467,972.38
  5. Step 5: Solve for x
    x = 19,467,972.38/5,762.41
  6. Step 6: Final answer
    x = 3,378.44

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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.