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Finding the Fourth Proportional to 4,000, 5,519.64 and 2,507.44

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Solution

The fourth proportional to 4,000, 5,519.64 and 2,507.44 is: 3,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 5,519.64 = 2,507.44 : x
  2. Step 2: Convert to fraction form
    4,000/5,519.64 = 2,507.44/x
  3. Step 3: Cross multiply
    4,000x = 5,519.64 × 2,507.44
  4. Step 4: Simplify right side
    4,000x = 13,840,166.12
  5. Step 5: Solve for x
    x = 13,840,166.12/4,000
  6. Step 6: Final answer
    x = 3,460.04

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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.