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Finding the Fourth Proportional to 5,884.69, 8,112.93 and 5,041.75

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Solution

The fourth proportional to 5,884.69, 8,112.93 and 5,041.75 is: 6,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.69 : 8,112.93 = 5,041.75 : x
  2. Step 2: Convert to fraction form
    5,884.69/8,112.93 = 5,041.75/x
  3. Step 3: Cross multiply
    5,884.69x = 8,112.93 × 5,041.75
  4. Step 4: Simplify right side
    5,884.69x = 40,903,324.26
  5. Step 5: Solve for x
    x = 40,903,324.26/5,884.69
  6. Step 6: Final answer
    x = 6,950.81

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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.