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Finding the Fourth Proportional to 5,090, 7,021.32 and 2,965.28

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Solution

The fourth proportional to 5,090, 7,021.32 and 2,965.28 is: 4,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090 : 7,021.32 = 2,965.28 : x
  2. Step 2: Convert to fraction form
    5,090/7,021.32 = 2,965.28/x
  3. Step 3: Cross multiply
    5,090x = 7,021.32 × 2,965.28
  4. Step 4: Simplify right side
    5,090x = 20,820,179.77
  5. Step 5: Solve for x
    x = 20,820,179.77/5,090
  6. Step 6: Final answer
    x = 4,090.41

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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.