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Finding the Fourth Proportional to 5,879.64, 8,112.96 and 3,361.32

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Solution

The fourth proportional to 5,879.64, 8,112.96 and 3,361.32 is: 4,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.64 : 8,112.96 = 3,361.32 : x
  2. Step 2: Convert to fraction form
    5,879.64/8,112.96 = 3,361.32/x
  3. Step 3: Cross multiply
    5,879.64x = 8,112.96 × 3,361.32
  4. Step 4: Simplify right side
    5,879.64x = 27,270,254.71
  5. Step 5: Solve for x
    x = 27,270,254.71/5,879.64
  6. Step 6: Final answer
    x = 4,638.08

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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.