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Finding the Fourth Proportional to 3,758.43, 5,638.86 and 1,810.38

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Solution

The fourth proportional to 3,758.43, 5,638.86 and 1,810.38 is: 2,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.43 : 5,638.86 = 1,810.38 : x
  2. Step 2: Convert to fraction form
    3,758.43/5,638.86 = 1,810.38/x
  3. Step 3: Cross multiply
    3,758.43x = 5,638.86 × 1,810.38
  4. Step 4: Simplify right side
    3,758.43x = 10,208,479.37
  5. Step 5: Solve for x
    x = 10,208,479.37/3,758.43
  6. Step 6: Final answer
    x = 2,716.16

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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.