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Finding the Fourth Proportional to 5,297.46, 7,309.92 and 3,434.46

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Solution

The fourth proportional to 5,297.46, 7,309.92 and 3,434.46 is: 4,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.46 : 7,309.92 = 3,434.46 : x
  2. Step 2: Convert to fraction form
    5,297.46/7,309.92 = 3,434.46/x
  3. Step 3: Cross multiply
    5,297.46x = 7,309.92 × 3,434.46
  4. Step 4: Simplify right side
    5,297.46x = 25,105,627.84
  5. Step 5: Solve for x
    x = 25,105,627.84/5,297.46
  6. Step 6: Final answer
    x = 4,739.18

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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.