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Finding the Fourth Proportional to 5,323.94, 7,331.19 and 5,205.93

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Solution

The fourth proportional to 5,323.94, 7,331.19 and 5,205.93 is: 7,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.94 : 7,331.19 = 5,205.93 : x
  2. Step 2: Convert to fraction form
    5,323.94/7,331.19 = 5,205.93/x
  3. Step 3: Cross multiply
    5,323.94x = 7,331.19 × 5,205.93
  4. Step 4: Simplify right side
    5,323.94x = 38,165,661.96
  5. Step 5: Solve for x
    x = 38,165,661.96/5,323.94
  6. Step 6: Final answer
    x = 7,168.69

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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.