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Finding the Fourth Proportional to 4,159.36, 6,238.54 and 1,821

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Solution

The fourth proportional to 4,159.36, 6,238.54 and 1,821 is: 2,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.36 : 6,238.54 = 1,821 : x
  2. Step 2: Convert to fraction form
    4,159.36/6,238.54 = 1,821/x
  3. Step 3: Cross multiply
    4,159.36x = 6,238.54 × 1,821
  4. Step 4: Simplify right side
    4,159.36x = 11,360,381.34
  5. Step 5: Solve for x
    x = 11,360,381.34/4,159.36
  6. Step 6: Final answer
    x = 2,731.28

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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.