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Finding the Fourth Proportional to 5,090.84, 7,022.82 and 4,391

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Solution

The fourth proportional to 5,090.84, 7,022.82 and 4,391 is: 6,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.84 : 7,022.82 = 4,391 : x
  2. Step 2: Convert to fraction form
    5,090.84/7,022.82 = 4,391/x
  3. Step 3: Cross multiply
    5,090.84x = 7,022.82 × 4,391
  4. Step 4: Simplify right side
    5,090.84x = 30,837,202.62
  5. Step 5: Solve for x
    x = 30,837,202.62/5,090.84
  6. Step 6: Final answer
    x = 6,057.39

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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.