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Finding the Fourth Proportional to 5,624.28, 7,768.40 and 4,214.27

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Solution

The fourth proportional to 5,624.28, 7,768.40 and 4,214.27 is: 5,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.28 : 7,768.40 = 4,214.27 : x
  2. Step 2: Convert to fraction form
    5,624.28/7,768.40 = 4,214.27/x
  3. Step 3: Cross multiply
    5,624.28x = 7,768.40 × 4,214.27
  4. Step 4: Simplify right side
    5,624.28x = 32,738,133.42
  5. Step 5: Solve for x
    x = 32,738,133.42/5,624.28
  6. Step 6: Final answer
    x = 5,820.86

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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.