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Finding the Fourth Proportional to 5,638.70, 7,775.91 and 5,084.96

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Solution

The fourth proportional to 5,638.70, 7,775.91 and 5,084.96 is: 7,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.70 : 7,775.91 = 5,084.96 : x
  2. Step 2: Convert to fraction form
    5,638.70/7,775.91 = 5,084.96/x
  3. Step 3: Cross multiply
    5,638.70x = 7,775.91 × 5,084.96
  4. Step 4: Simplify right side
    5,638.70x = 39,540,152.43
  5. Step 5: Solve for x
    x = 39,540,152.43/5,638.70
  6. Step 6: Final answer
    x = 7,012.29

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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.