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Finding the Fourth Proportional to 4,201.96, 6,303.32 and 1,604.92

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Solution

The fourth proportional to 4,201.96, 6,303.32 and 1,604.92 is: 2,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.96 : 6,303.32 = 1,604.92 : x
  2. Step 2: Convert to fraction form
    4,201.96/6,303.32 = 1,604.92/x
  3. Step 3: Cross multiply
    4,201.96x = 6,303.32 × 1,604.92
  4. Step 4: Simplify right side
    4,201.96x = 10,116,324.33
  5. Step 5: Solve for x
    x = 10,116,324.33/4,201.96
  6. Step 6: Final answer
    x = 2,407.53

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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.