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Finding the Fourth Proportional to 3,790.68, 5,673.90 and 2,031.30

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Solution

The fourth proportional to 3,790.68, 5,673.90 and 2,031.30 is: 3,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.68 : 5,673.90 = 2,031.30 : x
  2. Step 2: Convert to fraction form
    3,790.68/5,673.90 = 2,031.30/x
  3. Step 3: Cross multiply
    3,790.68x = 5,673.90 × 2,031.30
  4. Step 4: Simplify right side
    3,790.68x = 11,525,393.07
  5. Step 5: Solve for x
    x = 11,525,393.07/3,790.68
  6. Step 6: Final answer
    x = 3,040.46

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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.