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Finding the Fourth Proportional to 3,900.49, 5,844.13 and 2,358.25

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Solution

The fourth proportional to 3,900.49, 5,844.13 and 2,358.25 is: 3,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.49 : 5,844.13 = 2,358.25 : x
  2. Step 2: Convert to fraction form
    3,900.49/5,844.13 = 2,358.25/x
  3. Step 3: Cross multiply
    3,900.49x = 5,844.13 × 2,358.25
  4. Step 4: Simplify right side
    3,900.49x = 13,781,919.57
  5. Step 5: Solve for x
    x = 13,781,919.57/3,900.49
  6. Step 6: Final answer
    x = 3,533.38

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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.