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Finding the Fourth Proportional to 5,172.03, 7,758 and 1,883.97

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Solution

The fourth proportional to 5,172.03, 7,758 and 1,883.97 is: 2,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.03 : 7,758 = 1,883.97 : x
  2. Step 2: Convert to fraction form
    5,172.03/7,758 = 1,883.97/x
  3. Step 3: Cross multiply
    5,172.03x = 7,758 × 1,883.97
  4. Step 4: Simplify right side
    5,172.03x = 14,615,839.26
  5. Step 5: Solve for x
    x = 14,615,839.26/5,172.03
  6. Step 6: Final answer
    x = 2,825.94

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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.