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Finding the Fourth Proportional to 3,733, 5,599.50 and 997

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Solution

The fourth proportional to 3,733, 5,599.50 and 997 is: 1,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733 : 5,599.50 = 997 : x
  2. Step 2: Convert to fraction form
    3,733/5,599.50 = 997/x
  3. Step 3: Cross multiply
    3,733x = 5,599.50 × 997
  4. Step 4: Simplify right side
    3,733x = 5,582,701.50
  5. Step 5: Solve for x
    x = 5,582,701.50/3,733
  6. Step 6: Final answer
    x = 1,495.50

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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.