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Finding the Fourth Proportional to 3,602.06, 5,403.05 and 1,958.23

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Solution

The fourth proportional to 3,602.06, 5,403.05 and 1,958.23 is: 2,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.06 : 5,403.05 = 1,958.23 : x
  2. Step 2: Convert to fraction form
    3,602.06/5,403.05 = 1,958.23/x
  3. Step 3: Cross multiply
    3,602.06x = 5,403.05 × 1,958.23
  4. Step 4: Simplify right side
    3,602.06x = 10,580,414.60
  5. Step 5: Solve for x
    x = 10,580,414.60/3,602.06
  6. Step 6: Final answer
    x = 2,937.32

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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.