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Finding the Fourth Proportional to 3,628.40, 5,008.32 and 2,883.68

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Solution

The fourth proportional to 3,628.40, 5,008.32 and 2,883.68 is: 3,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.40 : 5,008.32 = 2,883.68 : x
  2. Step 2: Convert to fraction form
    3,628.40/5,008.32 = 2,883.68/x
  3. Step 3: Cross multiply
    3,628.40x = 5,008.32 × 2,883.68
  4. Step 4: Simplify right side
    3,628.40x = 14,442,392.22
  5. Step 5: Solve for x
    x = 14,442,392.22/3,628.40
  6. Step 6: Final answer
    x = 3,980.37

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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.