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Finding the Fourth Proportional to 3,921.04, 5,882.90 and 2,458.44

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Solution

The fourth proportional to 3,921.04, 5,882.90 and 2,458.44 is: 3,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.04 : 5,882.90 = 2,458.44 : x
  2. Step 2: Convert to fraction form
    3,921.04/5,882.90 = 2,458.44/x
  3. Step 3: Cross multiply
    3,921.04x = 5,882.90 × 2,458.44
  4. Step 4: Simplify right side
    3,921.04x = 14,462,756.68
  5. Step 5: Solve for x
    x = 14,462,756.68/3,921.04
  6. Step 6: Final answer
    x = 3,688.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.