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Finding the Fourth Proportional to 5,301.84, 7,954.20 and 1,839.36

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Solution

The fourth proportional to 5,301.84, 7,954.20 and 1,839.36 is: 2,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.84 : 7,954.20 = 1,839.36 : x
  2. Step 2: Convert to fraction form
    5,301.84/7,954.20 = 1,839.36/x
  3. Step 3: Cross multiply
    5,301.84x = 7,954.20 × 1,839.36
  4. Step 4: Simplify right side
    5,301.84x = 14,630,637.31
  5. Step 5: Solve for x
    x = 14,630,637.31/5,301.84
  6. Step 6: Final answer
    x = 2,759.54

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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.