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Finding the Fourth Proportional to 5,842, 8,767.08 and 2,379.28

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Solution

The fourth proportional to 5,842, 8,767.08 and 2,379.28 is: 3,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 8,767.08 = 2,379.28 : x
  2. Step 2: Convert to fraction form
    5,842/8,767.08 = 2,379.28/x
  3. Step 3: Cross multiply
    5,842x = 8,767.08 × 2,379.28
  4. Step 4: Simplify right side
    5,842x = 20,859,338.10
  5. Step 5: Solve for x
    x = 20,859,338.10/5,842
  6. Step 6: Final answer
    x = 3,570.58

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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.