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Finding the Fourth Proportional to 5,635.15, 7,782.89 and 3,839.51

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Solution

The fourth proportional to 5,635.15, 7,782.89 and 3,839.51 is: 5,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.15 : 7,782.89 = 3,839.51 : x
  2. Step 2: Convert to fraction form
    5,635.15/7,782.89 = 3,839.51/x
  3. Step 3: Cross multiply
    5,635.15x = 7,782.89 × 3,839.51
  4. Step 4: Simplify right side
    5,635.15x = 29,882,484.24
  5. Step 5: Solve for x
    x = 29,882,484.24/5,635.15
  6. Step 6: Final answer
    x = 5,302.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.