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Finding the Fourth Proportional to 3,921.53, 5,882.50 and 1,730.28

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Solution

The fourth proportional to 3,921.53, 5,882.50 and 1,730.28 is: 2,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.53 : 5,882.50 = 1,730.28 : x
  2. Step 2: Convert to fraction form
    3,921.53/5,882.50 = 1,730.28/x
  3. Step 3: Cross multiply
    3,921.53x = 5,882.50 × 1,730.28
  4. Step 4: Simplify right side
    3,921.53x = 10,178,372.10
  5. Step 5: Solve for x
    x = 10,178,372.10/3,921.53
  6. Step 6: Final answer
    x = 2,595.51

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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.