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Finding the Fourth Proportional to 5,674.46, 7,828.58 and 4,185.92

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Solution

The fourth proportional to 5,674.46, 7,828.58 and 4,185.92 is: 5,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.46 : 7,828.58 = 4,185.92 : x
  2. Step 2: Convert to fraction form
    5,674.46/7,828.58 = 4,185.92/x
  3. Step 3: Cross multiply
    5,674.46x = 7,828.58 × 4,185.92
  4. Step 4: Simplify right side
    5,674.46x = 32,769,839.63
  5. Step 5: Solve for x
    x = 32,769,839.63/5,674.46
  6. Step 6: Final answer
    x = 5,774.98

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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.