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Finding the Fourth Proportional to 3,827.07, 5,729.67 and 2,897.19

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Solution

The fourth proportional to 3,827.07, 5,729.67 and 2,897.19 is: 4,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.07 : 5,729.67 = 2,897.19 : x
  2. Step 2: Convert to fraction form
    3,827.07/5,729.67 = 2,897.19/x
  3. Step 3: Cross multiply
    3,827.07x = 5,729.67 × 2,897.19
  4. Step 4: Simplify right side
    3,827.07x = 16,599,942.63
  5. Step 5: Solve for x
    x = 16,599,942.63/3,827.07
  6. Step 6: Final answer
    x = 4,337.51

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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.