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Finding the Fourth Proportional to 4,201.72, 6,302.10 and 1,604.60

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Solution

The fourth proportional to 4,201.72, 6,302.10 and 1,604.60 is: 2,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.72 : 6,302.10 = 1,604.60 : x
  2. Step 2: Convert to fraction form
    4,201.72/6,302.10 = 1,604.60/x
  3. Step 3: Cross multiply
    4,201.72x = 6,302.10 × 1,604.60
  4. Step 4: Simplify right side
    4,201.72x = 10,112,349.66
  5. Step 5: Solve for x
    x = 10,112,349.66/4,201.72
  6. Step 6: Final answer
    x = 2,406.72

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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.