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Finding the Fourth Proportional to 5,259.72, 7,881.20 and 4,214.28

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Solution

The fourth proportional to 5,259.72, 7,881.20 and 4,214.28 is: 6,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.72 : 7,881.20 = 4,214.28 : x
  2. Step 2: Convert to fraction form
    5,259.72/7,881.20 = 4,214.28/x
  3. Step 3: Cross multiply
    5,259.72x = 7,881.20 × 4,214.28
  4. Step 4: Simplify right side
    5,259.72x = 33,213,583.54
  5. Step 5: Solve for x
    x = 33,213,583.54/5,259.72
  6. Step 6: Final answer
    x = 6,314.71

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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.