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Finding the Fourth Proportional to 5,842.08, 8,761.70 and 1,945.98

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Solution

The fourth proportional to 5,842.08, 8,761.70 and 1,945.98 is: 2,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.08 : 8,761.70 = 1,945.98 : x
  2. Step 2: Convert to fraction form
    5,842.08/8,761.70 = 1,945.98/x
  3. Step 3: Cross multiply
    5,842.08x = 8,761.70 × 1,945.98
  4. Step 4: Simplify right side
    5,842.08x = 17,050,097.83
  5. Step 5: Solve for x
    x = 17,050,097.83/5,842.08
  6. Step 6: Final answer
    x = 2,918.50

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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.