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Finding the Fourth Proportional to 3,258.09, 4,887.51 and 949.59

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Solution

The fourth proportional to 3,258.09, 4,887.51 and 949.59 is: 1,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.09 : 4,887.51 = 949.59 : x
  2. Step 2: Convert to fraction form
    3,258.09/4,887.51 = 949.59/x
  3. Step 3: Cross multiply
    3,258.09x = 4,887.51 × 949.59
  4. Step 4: Simplify right side
    3,258.09x = 4,641,130.62
  5. Step 5: Solve for x
    x = 4,641,130.62/3,258.09
  6. Step 6: Final answer
    x = 1,424.49

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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.