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Finding the Fourth Proportional to 5,852.25, 8,779.79 and 1,956.76

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Solution

The fourth proportional to 5,852.25, 8,779.79 and 1,956.76 is: 2,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.25 : 8,779.79 = 1,956.76 : x
  2. Step 2: Convert to fraction form
    5,852.25/8,779.79 = 1,956.76/x
  3. Step 3: Cross multiply
    5,852.25x = 8,779.79 × 1,956.76
  4. Step 4: Simplify right side
    5,852.25x = 17,179,924.82
  5. Step 5: Solve for x
    x = 17,179,924.82/5,852.25
  6. Step 6: Final answer
    x = 2,935.61

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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.