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Finding the Fourth Proportional to 3,885.40, 5,796.71 and 3,699.88

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Solution

The fourth proportional to 3,885.40, 5,796.71 and 3,699.88 is: 5,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.40 : 5,796.71 = 3,699.88 : x
  2. Step 2: Convert to fraction form
    3,885.40/5,796.71 = 3,699.88/x
  3. Step 3: Cross multiply
    3,885.40x = 5,796.71 × 3,699.88
  4. Step 4: Simplify right side
    3,885.40x = 21,447,131.39
  5. Step 5: Solve for x
    x = 21,447,131.39/3,885.40
  6. Step 6: Final answer
    x = 5,519.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.