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Finding the Fourth Proportional to 3,733.50, 5,600.17 and 3,152.23

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Solution

The fourth proportional to 3,733.50, 5,600.17 and 3,152.23 is: 4,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.50 : 5,600.17 = 3,152.23 : x
  2. Step 2: Convert to fraction form
    3,733.50/5,600.17 = 3,152.23/x
  3. Step 3: Cross multiply
    3,733.50x = 5,600.17 × 3,152.23
  4. Step 4: Simplify right side
    3,733.50x = 17,653,023.88
  5. Step 5: Solve for x
    x = 17,653,023.88/3,733.50
  6. Step 6: Final answer
    x = 4,728.28

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