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Finding the Fourth Proportional to 3,258.97, 4,888.21 and 1,037.71

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Solution

The fourth proportional to 3,258.97, 4,888.21 and 1,037.71 is: 1,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.97 : 4,888.21 = 1,037.71 : x
  2. Step 2: Convert to fraction form
    3,258.97/4,888.21 = 1,037.71/x
  3. Step 3: Cross multiply
    3,258.97x = 4,888.21 × 1,037.71
  4. Step 4: Simplify right side
    3,258.97x = 5,072,544.40
  5. Step 5: Solve for x
    x = 5,072,544.40/3,258.97
  6. Step 6: Final answer
    x = 1,556.49

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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.