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Finding the Fourth Proportional to 5,895.75, 8,137.26 and 3,506.25

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Solution

The fourth proportional to 5,895.75, 8,137.26 and 3,506.25 is: 4,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.75 : 8,137.26 = 3,506.25 : x
  2. Step 2: Convert to fraction form
    5,895.75/8,137.26 = 3,506.25/x
  3. Step 3: Cross multiply
    5,895.75x = 8,137.26 × 3,506.25
  4. Step 4: Simplify right side
    5,895.75x = 28,531,267.88
  5. Step 5: Solve for x
    x = 28,531,267.88/5,895.75
  6. Step 6: Final answer
    x = 4,839.29

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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.