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Finding the Fourth Proportional to 3,885.69, 5,827.71 and 1,253.43

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Solution

The fourth proportional to 3,885.69, 5,827.71 and 1,253.43 is: 1,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.69 : 5,827.71 = 1,253.43 : x
  2. Step 2: Convert to fraction form
    3,885.69/5,827.71 = 1,253.43/x
  3. Step 3: Cross multiply
    3,885.69x = 5,827.71 × 1,253.43
  4. Step 4: Simplify right side
    3,885.69x = 7,304,647.64
  5. Step 5: Solve for x
    x = 7,304,647.64/3,885.69
  6. Step 6: Final answer
    x = 1,879.89

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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.