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Finding the Fourth Proportional to 5,735.26, 8,603.02 and 2,272.50

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Solution

The fourth proportional to 5,735.26, 8,603.02 and 2,272.50 is: 3,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.26 : 8,603.02 = 2,272.50 : x
  2. Step 2: Convert to fraction form
    5,735.26/8,603.02 = 2,272.50/x
  3. Step 3: Cross multiply
    5,735.26x = 8,603.02 × 2,272.50
  4. Step 4: Simplify right side
    5,735.26x = 19,550,362.95
  5. Step 5: Solve for x
    x = 19,550,362.95/5,735.26
  6. Step 6: Final answer
    x = 3,408.80

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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.