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Finding the Fourth Proportional to 3,800.42, 5,246.76 and 2,897.07

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Solution

The fourth proportional to 3,800.42, 5,246.76 and 2,897.07 is: 3,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.42 : 5,246.76 = 2,897.07 : x
  2. Step 2: Convert to fraction form
    3,800.42/5,246.76 = 2,897.07/x
  3. Step 3: Cross multiply
    3,800.42x = 5,246.76 × 2,897.07
  4. Step 4: Simplify right side
    3,800.42x = 15,200,190.27
  5. Step 5: Solve for x
    x = 15,200,190.27/3,800.42
  6. Step 6: Final answer
    x = 3,999.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.