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Finding the Fourth Proportional to 5,214.56, 7,812.72 and 4,342.68

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Solution

The fourth proportional to 5,214.56, 7,812.72 and 4,342.68 is: 6,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.56 : 7,812.72 = 4,342.68 : x
  2. Step 2: Convert to fraction form
    5,214.56/7,812.72 = 4,342.68/x
  3. Step 3: Cross multiply
    5,214.56x = 7,812.72 × 4,342.68
  4. Step 4: Simplify right side
    5,214.56x = 33,928,142.89
  5. Step 5: Solve for x
    x = 33,928,142.89/5,214.56
  6. Step 6: Final answer
    x = 6,506.42

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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.