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Finding the Fourth Proportional to 3,895.07, 5,842.61 and 1,159.07

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Solution

The fourth proportional to 3,895.07, 5,842.61 and 1,159.07 is: 1,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.07 : 5,842.61 = 1,159.07 : x
  2. Step 2: Convert to fraction form
    3,895.07/5,842.61 = 1,159.07/x
  3. Step 3: Cross multiply
    3,895.07x = 5,842.61 × 1,159.07
  4. Step 4: Simplify right side
    3,895.07x = 6,771,993.97
  5. Step 5: Solve for x
    x = 6,771,993.97/3,895.07
  6. Step 6: Final answer
    x = 1,738.61

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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.