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Finding the Fourth Proportional to 5,635.40, 7,783.23 and 3,839.76

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Solution

The fourth proportional to 5,635.40, 7,783.23 and 3,839.76 is: 5,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.40 : 7,783.23 = 3,839.76 : x
  2. Step 2: Convert to fraction form
    5,635.40/7,783.23 = 3,839.76/x
  3. Step 3: Cross multiply
    5,635.40x = 7,783.23 × 3,839.76
  4. Step 4: Simplify right side
    5,635.40x = 29,885,754.68
  5. Step 5: Solve for x
    x = 29,885,754.68/5,635.40
  6. Step 6: Final answer
    x = 5,303.22

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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.