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Finding the Fourth Proportional to 3,842.55, 5,763.96 and 1,245.42

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Solution

The fourth proportional to 3,842.55, 5,763.96 and 1,245.42 is: 1,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.55 : 5,763.96 = 1,245.42 : x
  2. Step 2: Convert to fraction form
    3,842.55/5,763.96 = 1,245.42/x
  3. Step 3: Cross multiply
    3,842.55x = 5,763.96 × 1,245.42
  4. Step 4: Simplify right side
    3,842.55x = 7,178,551.06
  5. Step 5: Solve for x
    x = 7,178,551.06/3,842.55
  6. Step 6: Final answer
    x = 1,868.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.