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Finding the Fourth Proportional to 3,849.65, 5,774.66 and 1,999.60

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Solution

The fourth proportional to 3,849.65, 5,774.66 and 1,999.60 is: 2,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.65 : 5,774.66 = 1,999.60 : x
  2. Step 2: Convert to fraction form
    3,849.65/5,774.66 = 1,999.60/x
  3. Step 3: Cross multiply
    3,849.65x = 5,774.66 × 1,999.60
  4. Step 4: Simplify right side
    3,849.65x = 11,547,010.14
  5. Step 5: Solve for x
    x = 11,547,010.14/3,849.65
  6. Step 6: Final answer
    x = 2,999.50

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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.