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Finding the Fourth Proportional to 3,801.15, 5,696.25 and 1,606.86

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Solution

The fourth proportional to 3,801.15, 5,696.25 and 1,606.86 is: 2,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.15 : 5,696.25 = 1,606.86 : x
  2. Step 2: Convert to fraction form
    3,801.15/5,696.25 = 1,606.86/x
  3. Step 3: Cross multiply
    3,801.15x = 5,696.25 × 1,606.86
  4. Step 4: Simplify right side
    3,801.15x = 9,153,076.28
  5. Step 5: Solve for x
    x = 9,153,076.28/3,801.15
  6. Step 6: Final answer
    x = 2,407.98

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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.