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Finding the Fourth Proportional to 4,031.81, 6,047.73 and 1,839

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Solution

The fourth proportional to 4,031.81, 6,047.73 and 1,839 is: 2,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.81 : 6,047.73 = 1,839 : x
  2. Step 2: Convert to fraction form
    4,031.81/6,047.73 = 1,839/x
  3. Step 3: Cross multiply
    4,031.81x = 6,047.73 × 1,839
  4. Step 4: Simplify right side
    4,031.81x = 11,121,775.47
  5. Step 5: Solve for x
    x = 11,121,775.47/4,031.81
  6. Step 6: Final answer
    x = 2,758.51

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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.