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Finding the Fourth Proportional to 4,074, 5,620.38 and 3,128.16

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Solution

The fourth proportional to 4,074, 5,620.38 and 3,128.16 is: 4,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074 : 5,620.38 = 3,128.16 : x
  2. Step 2: Convert to fraction form
    4,074/5,620.38 = 3,128.16/x
  3. Step 3: Cross multiply
    4,074x = 5,620.38 × 3,128.16
  4. Step 4: Simplify right side
    4,074x = 17,581,447.90
  5. Step 5: Solve for x
    x = 17,581,447.90/4,074
  6. Step 6: Final answer
    x = 4,315.52

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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.