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Finding the Fourth Proportional to 3,730.60, 5,597.21 and 1,650.33

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Solution

The fourth proportional to 3,730.60, 5,597.21 and 1,650.33 is: 2,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.60 : 5,597.21 = 1,650.33 : x
  2. Step 2: Convert to fraction form
    3,730.60/5,597.21 = 1,650.33/x
  3. Step 3: Cross multiply
    3,730.60x = 5,597.21 × 1,650.33
  4. Step 4: Simplify right side
    3,730.60x = 9,237,235.33
  5. Step 5: Solve for x
    x = 9,237,235.33/3,730.60
  6. Step 6: Final answer
    x = 2,476.07

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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.