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Finding the Fourth Proportional to 3,762.36, 5,639.58 and 1,810.44

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Solution

The fourth proportional to 3,762.36, 5,639.58 and 1,810.44 is: 2,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.36 : 5,639.58 = 1,810.44 : x
  2. Step 2: Convert to fraction form
    3,762.36/5,639.58 = 1,810.44/x
  3. Step 3: Cross multiply
    3,762.36x = 5,639.58 × 1,810.44
  4. Step 4: Simplify right side
    3,762.36x = 10,210,121.22
  5. Step 5: Solve for x
    x = 10,210,121.22/3,762.36
  6. Step 6: Final answer
    x = 2,713.75

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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.