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Finding the Fourth Proportional to 5,214.53, 7,823.96 and 2,751.53

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Solution

The fourth proportional to 5,214.53, 7,823.96 and 2,751.53 is: 4,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.53 : 7,823.96 = 2,751.53 : x
  2. Step 2: Convert to fraction form
    5,214.53/7,823.96 = 2,751.53/x
  3. Step 3: Cross multiply
    5,214.53x = 7,823.96 × 2,751.53
  4. Step 4: Simplify right side
    5,214.53x = 21,527,807.78
  5. Step 5: Solve for x
    x = 21,527,807.78/5,214.53
  6. Step 6: Final answer
    x = 4,128.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.