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Finding the Fourth Proportional to 3,599.99, 5,398.14 and 1,650.50

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Solution

The fourth proportional to 3,599.99, 5,398.14 and 1,650.50 is: 2,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.99 : 5,398.14 = 1,650.50 : x
  2. Step 2: Convert to fraction form
    3,599.99/5,398.14 = 1,650.50/x
  3. Step 3: Cross multiply
    3,599.99x = 5,398.14 × 1,650.50
  4. Step 4: Simplify right side
    3,599.99x = 8,909,630.07
  5. Step 5: Solve for x
    x = 8,909,630.07/3,599.99
  6. Step 6: Final answer
    x = 2,474.90

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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.