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Finding the Fourth Proportional to 5,933.34, 8,193.27 and 3,842.46

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Solution

The fourth proportional to 5,933.34, 8,193.27 and 3,842.46 is: 5,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.34 : 8,193.27 = 3,842.46 : x
  2. Step 2: Convert to fraction form
    5,933.34/8,193.27 = 3,842.46/x
  3. Step 3: Cross multiply
    5,933.34x = 8,193.27 × 3,842.46
  4. Step 4: Simplify right side
    5,933.34x = 31,482,312.24
  5. Step 5: Solve for x
    x = 31,482,312.24/5,933.34
  6. Step 6: Final answer
    x = 5,306.00

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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.