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Finding the Fourth Proportional to 3,258.54, 4,888.35 and 3,205.98

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Solution

The fourth proportional to 3,258.54, 4,888.35 and 3,205.98 is: 4,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.54 : 4,888.35 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    3,258.54/4,888.35 = 3,205.98/x
  3. Step 3: Cross multiply
    3,258.54x = 4,888.35 × 3,205.98
  4. Step 4: Simplify right side
    3,258.54x = 15,671,952.33
  5. Step 5: Solve for x
    x = 15,671,952.33/3,258.54
  6. Step 6: Final answer
    x = 4,809.50

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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.