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Finding the Fourth Proportional to 3,758.55, 5,636.23 and 1,883.20

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Solution

The fourth proportional to 3,758.55, 5,636.23 and 1,883.20 is: 2,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.55 : 5,636.23 = 1,883.20 : x
  2. Step 2: Convert to fraction form
    3,758.55/5,636.23 = 1,883.20/x
  3. Step 3: Cross multiply
    3,758.55x = 5,636.23 × 1,883.20
  4. Step 4: Simplify right side
    3,758.55x = 10,614,148.34
  5. Step 5: Solve for x
    x = 10,614,148.34/3,758.55
  6. Step 6: Final answer
    x = 2,824.00

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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.