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Finding the Fourth Proportional to 5,764.64, 7,956.24 and 4,520.48

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Solution

The fourth proportional to 5,764.64, 7,956.24 and 4,520.48 is: 6,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.64 : 7,956.24 = 4,520.48 : x
  2. Step 2: Convert to fraction form
    5,764.64/7,956.24 = 4,520.48/x
  3. Step 3: Cross multiply
    5,764.64x = 7,956.24 × 4,520.48
  4. Step 4: Simplify right side
    5,764.64x = 35,966,023.80
  5. Step 5: Solve for x
    x = 35,966,023.80/5,764.64
  6. Step 6: Final answer
    x = 6,239.08

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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.