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Finding the Fourth Proportional to 4,085.69, 6,126.06 and 1,833.81

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Solution

The fourth proportional to 4,085.69, 6,126.06 and 1,833.81 is: 2,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.69 : 6,126.06 = 1,833.81 : x
  2. Step 2: Convert to fraction form
    4,085.69/6,126.06 = 1,833.81/x
  3. Step 3: Cross multiply
    4,085.69x = 6,126.06 × 1,833.81
  4. Step 4: Simplify right side
    4,085.69x = 11,234,030.09
  5. Step 5: Solve for x
    x = 11,234,030.09/4,085.69
  6. Step 6: Final answer
    x = 2,749.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.