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Finding the Fourth Proportional to 5,253.06, 7,880.21 and 1,743.38

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Solution

The fourth proportional to 5,253.06, 7,880.21 and 1,743.38 is: 2,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.06 : 7,880.21 = 1,743.38 : x
  2. Step 2: Convert to fraction form
    5,253.06/7,880.21 = 1,743.38/x
  3. Step 3: Cross multiply
    5,253.06x = 7,880.21 × 1,743.38
  4. Step 4: Simplify right side
    5,253.06x = 13,738,152.39
  5. Step 5: Solve for x
    x = 13,738,152.39/5,253.06
  6. Step 6: Final answer
    x = 2,615.27

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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.