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Finding the Fourth Proportional to 5,257.26, 7,887.10 and 1,794.50

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Solution

The fourth proportional to 5,257.26, 7,887.10 and 1,794.50 is: 2,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.26 : 7,887.10 = 1,794.50 : x
  2. Step 2: Convert to fraction form
    5,257.26/7,887.10 = 1,794.50/x
  3. Step 3: Cross multiply
    5,257.26x = 7,887.10 × 1,794.50
  4. Step 4: Simplify right side
    5,257.26x = 14,153,400.95
  5. Step 5: Solve for x
    x = 14,153,400.95/5,257.26
  6. Step 6: Final answer
    x = 2,692.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.