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Finding the Fourth Proportional to 5,628.84, 7,760.52 and 3,857.28

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Solution

The fourth proportional to 5,628.84, 7,760.52 and 3,857.28 is: 5,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.84 : 7,760.52 = 3,857.28 : x
  2. Step 2: Convert to fraction form
    5,628.84/7,760.52 = 3,857.28/x
  3. Step 3: Cross multiply
    5,628.84x = 7,760.52 × 3,857.28
  4. Step 4: Simplify right side
    5,628.84x = 29,934,498.59
  5. Step 5: Solve for x
    x = 29,934,498.59/5,628.84
  6. Step 6: Final answer
    x = 5,318.06

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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.