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Finding the Fourth Proportional to 5,935.80, 8,193.34 and 4,167.84

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Solution

The fourth proportional to 5,935.80, 8,193.34 and 4,167.84 is: 5,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.80 : 8,193.34 = 4,167.84 : x
  2. Step 2: Convert to fraction form
    5,935.80/8,193.34 = 4,167.84/x
  3. Step 3: Cross multiply
    5,935.80x = 8,193.34 × 4,167.84
  4. Step 4: Simplify right side
    5,935.80x = 34,148,530.19
  5. Step 5: Solve for x
    x = 34,148,530.19/5,935.80
  6. Step 6: Final answer
    x = 5,752.98

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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.