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Finding the Fourth Proportional to 5,513.64, 7,604.64 and 3,834.20

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Solution

The fourth proportional to 5,513.64, 7,604.64 and 3,834.20 is: 5,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.64 : 7,604.64 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    5,513.64/7,604.64 = 3,834.20/x
  3. Step 3: Cross multiply
    5,513.64x = 7,604.64 × 3,834.20
  4. Step 4: Simplify right side
    5,513.64x = 29,157,729.70
  5. Step 5: Solve for x
    x = 29,157,729.70/5,513.64
  6. Step 6: Final answer
    x = 5,288.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.