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Finding the Fourth Proportional to 3,362.57, 5,040.02 and 1,605.07

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Solution

The fourth proportional to 3,362.57, 5,040.02 and 1,605.07 is: 2,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.57 : 5,040.02 = 1,605.07 : x
  2. Step 2: Convert to fraction form
    3,362.57/5,040.02 = 1,605.07/x
  3. Step 3: Cross multiply
    3,362.57x = 5,040.02 × 1,605.07
  4. Step 4: Simplify right side
    3,362.57x = 8,089,595.21
  5. Step 5: Solve for x
    x = 8,089,595.21/3,362.57
  6. Step 6: Final answer
    x = 2,405.78

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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.