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Finding the Fourth Proportional to 5,675.64, 8,513.46 and 3,381.72

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Solution

The fourth proportional to 5,675.64, 8,513.46 and 3,381.72 is: 5,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.64 : 8,513.46 = 3,381.72 : x
  2. Step 2: Convert to fraction form
    5,675.64/8,513.46 = 3,381.72/x
  3. Step 3: Cross multiply
    5,675.64x = 8,513.46 × 3,381.72
  4. Step 4: Simplify right side
    5,675.64x = 28,790,137.95
  5. Step 5: Solve for x
    x = 28,790,137.95/5,675.64
  6. Step 6: Final answer
    x = 5,072.58

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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.