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Finding the Fourth Proportional to 3,478.92, 4,771.52 and 3,290.64

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Solution

The fourth proportional to 3,478.92, 4,771.52 and 3,290.64 is: 4,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.92 : 4,771.52 = 3,290.64 : x
  2. Step 2: Convert to fraction form
    3,478.92/4,771.52 = 3,290.64/x
  3. Step 3: Cross multiply
    3,478.92x = 4,771.52 × 3,290.64
  4. Step 4: Simplify right side
    3,478.92x = 15,701,338.12
  5. Step 5: Solve for x
    x = 15,701,338.12/3,478.92
  6. Step 6: Final answer
    x = 4,513.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.