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Finding the Fourth Proportional to 3,784.56, 5,214.17 and 2,838.89

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Solution

The fourth proportional to 3,784.56, 5,214.17 and 2,838.89 is: 3,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.56 : 5,214.17 = 2,838.89 : x
  2. Step 2: Convert to fraction form
    3,784.56/5,214.17 = 2,838.89/x
  3. Step 3: Cross multiply
    3,784.56x = 5,214.17 × 2,838.89
  4. Step 4: Simplify right side
    3,784.56x = 14,802,429.00
  5. Step 5: Solve for x
    x = 14,802,429.00/3,784.56
  6. Step 6: Final answer
    x = 3,911.27

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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.