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Finding the Fourth Proportional to 3,476.68, 5,205.02 and 3,258.68

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Solution

The fourth proportional to 3,476.68, 5,205.02 and 3,258.68 is: 4,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.68 : 5,205.02 = 3,258.68 : x
  2. Step 2: Convert to fraction form
    3,476.68/5,205.02 = 3,258.68/x
  3. Step 3: Cross multiply
    3,476.68x = 5,205.02 × 3,258.68
  4. Step 4: Simplify right side
    3,476.68x = 16,961,494.57
  5. Step 5: Solve for x
    x = 16,961,494.57/3,476.68
  6. Step 6: Final answer
    x = 4,878.65

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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.