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Finding the Fourth Proportional to 5,253.57, 7,881.28 and 1,743.78

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Solution

The fourth proportional to 5,253.57, 7,881.28 and 1,743.78 is: 2,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.57 : 7,881.28 = 1,743.78 : x
  2. Step 2: Convert to fraction form
    5,253.57/7,881.28 = 1,743.78/x
  3. Step 3: Cross multiply
    5,253.57x = 7,881.28 × 1,743.78
  4. Step 4: Simplify right side
    5,253.57x = 13,743,242.50
  5. Step 5: Solve for x
    x = 13,743,242.50/5,253.57
  6. Step 6: Final answer
    x = 2,615.98

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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.