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Finding the Fourth Proportional to 5,214.93, 7,824.90 and 3,240.03

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Solution

The fourth proportional to 5,214.93, 7,824.90 and 3,240.03 is: 4,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.93 : 7,824.90 = 3,240.03 : x
  2. Step 2: Convert to fraction form
    5,214.93/7,824.90 = 3,240.03/x
  3. Step 3: Cross multiply
    5,214.93x = 7,824.90 × 3,240.03
  4. Step 4: Simplify right side
    5,214.93x = 25,352,886.22
  5. Step 5: Solve for x
    x = 25,352,886.22/5,214.93
  6. Step 6: Final answer
    x = 4,861.59

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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.