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Finding the Fourth Proportional to 5,736.48, 8,605.11 and 1,840.65

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Solution

The fourth proportional to 5,736.48, 8,605.11 and 1,840.65 is: 2,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.48 : 8,605.11 = 1,840.65 : x
  2. Step 2: Convert to fraction form
    5,736.48/8,605.11 = 1,840.65/x
  3. Step 3: Cross multiply
    5,736.48x = 8,605.11 × 1,840.65
  4. Step 4: Simplify right side
    5,736.48x = 15,838,995.72
  5. Step 5: Solve for x
    x = 15,838,995.72/5,736.48
  6. Step 6: Final answer
    x = 2,761.10

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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.