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Finding the Fourth Proportional to 3,735.28, 5,598.12 and 1,882.25

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Solution

The fourth proportional to 3,735.28, 5,598.12 and 1,882.25 is: 2,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.28 : 5,598.12 = 1,882.25 : x
  2. Step 2: Convert to fraction form
    3,735.28/5,598.12 = 1,882.25/x
  3. Step 3: Cross multiply
    3,735.28x = 5,598.12 × 1,882.25
  4. Step 4: Simplify right side
    3,735.28x = 10,537,061.43
  5. Step 5: Solve for x
    x = 10,537,061.43/3,735.28
  6. Step 6: Final answer
    x = 2,820.96

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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.