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Finding the Fourth Proportional to 3,820.72, 5,726.28 and 2,065.65

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Solution

The fourth proportional to 3,820.72, 5,726.28 and 2,065.65 is: 3,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.72 : 5,726.28 = 2,065.65 : x
  2. Step 2: Convert to fraction form
    3,820.72/5,726.28 = 2,065.65/x
  3. Step 3: Cross multiply
    3,820.72x = 5,726.28 × 2,065.65
  4. Step 4: Simplify right side
    3,820.72x = 11,828,498.03
  5. Step 5: Solve for x
    x = 11,828,498.03/3,820.72
  6. Step 6: Final answer
    x = 3,095.88

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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.