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Finding the Fourth Proportional to 5,754.92, 7,931.58 and 4,956.20

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Solution

The fourth proportional to 5,754.92, 7,931.58 and 4,956.20 is: 6,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.92 : 7,931.58 = 4,956.20 : x
  2. Step 2: Convert to fraction form
    5,754.92/7,931.58 = 4,956.20/x
  3. Step 3: Cross multiply
    5,754.92x = 7,931.58 × 4,956.20
  4. Step 4: Simplify right side
    5,754.92x = 39,310,496.80
  5. Step 5: Solve for x
    x = 39,310,496.80/5,754.92
  6. Step 6: Final answer
    x = 6,830.76

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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.