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Finding the Fourth Proportional to 5,859.28, 8,783.62 and 2,159

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Solution

The fourth proportional to 5,859.28, 8,783.62 and 2,159 is: 3,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.28 : 8,783.62 = 2,159 : x
  2. Step 2: Convert to fraction form
    5,859.28/8,783.62 = 2,159/x
  3. Step 3: Cross multiply
    5,859.28x = 8,783.62 × 2,159
  4. Step 4: Simplify right side
    5,859.28x = 18,963,835.58
  5. Step 5: Solve for x
    x = 18,963,835.58/5,859.28
  6. Step 6: Final answer
    x = 3,236.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.