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Finding the Fourth Proportional to 5,303.49, 7,956.76 and 3,197.49

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Solution

The fourth proportional to 5,303.49, 7,956.76 and 3,197.49 is: 4,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.49 : 7,956.76 = 3,197.49 : x
  2. Step 2: Convert to fraction form
    5,303.49/7,956.76 = 3,197.49/x
  3. Step 3: Cross multiply
    5,303.49x = 7,956.76 × 3,197.49
  4. Step 4: Simplify right side
    5,303.49x = 25,441,660.53
  5. Step 5: Solve for x
    x = 25,441,660.53/5,303.49
  6. Step 6: Final answer
    x = 4,797.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.