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Finding the Fourth Proportional to 3,494.53, 4,822.50 and 2,709.64

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Solution

The fourth proportional to 3,494.53, 4,822.50 and 2,709.64 is: 3,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.53 : 4,822.50 = 2,709.64 : x
  2. Step 2: Convert to fraction form
    3,494.53/4,822.50 = 2,709.64/x
  3. Step 3: Cross multiply
    3,494.53x = 4,822.50 × 2,709.64
  4. Step 4: Simplify right side
    3,494.53x = 13,067,238.90
  5. Step 5: Solve for x
    x = 13,067,238.90/3,494.53
  6. Step 6: Final answer
    x = 3,739.34

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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.