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Finding the Fourth Proportional to 3,840.82, 5,762.27 and 1,376.35

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Solution

The fourth proportional to 3,840.82, 5,762.27 and 1,376.35 is: 2,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.82 : 5,762.27 = 1,376.35 : x
  2. Step 2: Convert to fraction form
    3,840.82/5,762.27 = 1,376.35/x
  3. Step 3: Cross multiply
    3,840.82x = 5,762.27 × 1,376.35
  4. Step 4: Simplify right side
    3,840.82x = 7,930,889.35
  5. Step 5: Solve for x
    x = 7,930,889.35/3,840.82
  6. Step 6: Final answer
    x = 2,064.89

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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.