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Finding the Fourth Proportional to 3,767.04, 5,653.80 and 1,820.61

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Solution

The fourth proportional to 3,767.04, 5,653.80 and 1,820.61 is: 2,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.04 : 5,653.80 = 1,820.61 : x
  2. Step 2: Convert to fraction form
    3,767.04/5,653.80 = 1,820.61/x
  3. Step 3: Cross multiply
    3,767.04x = 5,653.80 × 1,820.61
  4. Step 4: Simplify right side
    3,767.04x = 10,293,364.82
  5. Step 5: Solve for x
    x = 10,293,364.82/3,767.04
  6. Step 6: Final answer
    x = 2,732.48

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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.