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Finding the Fourth Proportional to 3,842.00, 5,763 and 1,376.97

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Solution

The fourth proportional to 3,842.00, 5,763 and 1,376.97 is: 2,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.00 : 5,763 = 1,376.97 : x
  2. Step 2: Convert to fraction form
    3,842.00/5,763 = 1,376.97/x
  3. Step 3: Cross multiply
    3,842.00x = 5,763 × 1,376.97
  4. Step 4: Simplify right side
    3,842.00x = 7,935,478.11
  5. Step 5: Solve for x
    x = 7,935,478.11/3,842.00
  6. Step 6: Final answer
    x = 2,065.46

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Why These Related Problems?

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