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Finding the Fourth Proportional to 5,937.84, 8,193.71 and 5,306.33

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Solution

The fourth proportional to 5,937.84, 8,193.71 and 5,306.33 is: 7,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.84 : 8,193.71 = 5,306.33 : x
  2. Step 2: Convert to fraction form
    5,937.84/8,193.71 = 5,306.33/x
  3. Step 3: Cross multiply
    5,937.84x = 8,193.71 × 5,306.33
  4. Step 4: Simplify right side
    5,937.84x = 43,478,562.93
  5. Step 5: Solve for x
    x = 43,478,562.93/5,937.84
  6. Step 6: Final answer
    x = 7,322.29

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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.