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Finding the Fourth Proportional to 3,253.50, 4,880.28 and 788.32

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Solution

The fourth proportional to 3,253.50, 4,880.28 and 788.32 is: 1,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.50 : 4,880.28 = 788.32 : x
  2. Step 2: Convert to fraction form
    3,253.50/4,880.28 = 788.32/x
  3. Step 3: Cross multiply
    3,253.50x = 4,880.28 × 788.32
  4. Step 4: Simplify right side
    3,253.50x = 3,847,217.87
  5. Step 5: Solve for x
    x = 3,847,217.87/3,253.50
  6. Step 6: Final answer
    x = 1,182.48

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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.