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Finding the Fourth Proportional to 5,905.25, 8,858.28 and 1,956.50

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Solution

The fourth proportional to 5,905.25, 8,858.28 and 1,956.50 is: 2,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.25 : 8,858.28 = 1,956.50 : x
  2. Step 2: Convert to fraction form
    5,905.25/8,858.28 = 1,956.50/x
  3. Step 3: Cross multiply
    5,905.25x = 8,858.28 × 1,956.50
  4. Step 4: Simplify right side
    5,905.25x = 17,331,224.82
  5. Step 5: Solve for x
    x = 17,331,224.82/5,905.25
  6. Step 6: Final answer
    x = 2,934.88

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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.