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Finding the Fourth Proportional to 3,800.07, 5,243.40 and 2,308.14

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Solution

The fourth proportional to 3,800.07, 5,243.40 and 2,308.14 is: 3,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.07 : 5,243.40 = 2,308.14 : x
  2. Step 2: Convert to fraction form
    3,800.07/5,243.40 = 2,308.14/x
  3. Step 3: Cross multiply
    3,800.07x = 5,243.40 × 2,308.14
  4. Step 4: Simplify right side
    3,800.07x = 12,102,501.28
  5. Step 5: Solve for x
    x = 12,102,501.28/3,800.07
  6. Step 6: Final answer
    x = 3,184.81

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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.