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Finding the Fourth Proportional to 5,090.40, 7,024.19 and 2,851.97

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Solution

The fourth proportional to 5,090.40, 7,024.19 and 2,851.97 is: 3,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.40 : 7,024.19 = 2,851.97 : x
  2. Step 2: Convert to fraction form
    5,090.40/7,024.19 = 2,851.97/x
  3. Step 3: Cross multiply
    5,090.40x = 7,024.19 × 2,851.97
  4. Step 4: Simplify right side
    5,090.40x = 20,032,729.77
  5. Step 5: Solve for x
    x = 20,032,729.77/5,090.40
  6. Step 6: Final answer
    x = 3,935.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.