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Finding the Fourth Proportional to 5,675.63, 8,513.44 and 1,571.63

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Solution

The fourth proportional to 5,675.63, 8,513.44 and 1,571.63 is: 2,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.63 : 8,513.44 = 1,571.63 : x
  2. Step 2: Convert to fraction form
    5,675.63/8,513.44 = 1,571.63/x
  3. Step 3: Cross multiply
    5,675.63x = 8,513.44 × 1,571.63
  4. Step 4: Simplify right side
    5,675.63x = 13,379,931.21
  5. Step 5: Solve for x
    x = 13,379,931.21/5,675.63
  6. Step 6: Final answer
    x = 2,357.44

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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.