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Finding the Fourth Proportional to 5,072.88, 7,000.57 and 3,083.06

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Solution

The fourth proportional to 5,072.88, 7,000.57 and 3,083.06 is: 4,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.88 : 7,000.57 = 3,083.06 : x
  2. Step 2: Convert to fraction form
    5,072.88/7,000.57 = 3,083.06/x
  3. Step 3: Cross multiply
    5,072.88x = 7,000.57 × 3,083.06
  4. Step 4: Simplify right side
    5,072.88x = 21,583,169.64
  5. Step 5: Solve for x
    x = 21,583,169.64/5,072.88
  6. Step 6: Final answer
    x = 4,254.62

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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.