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Finding the Fourth Proportional to 5,956.64, 8,925.24 and 5,729.12

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Solution

The fourth proportional to 5,956.64, 8,925.24 and 5,729.12 is: 8,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.64 : 8,925.24 = 5,729.12 : x
  2. Step 2: Convert to fraction form
    5,956.64/8,925.24 = 5,729.12/x
  3. Step 3: Cross multiply
    5,956.64x = 8,925.24 × 5,729.12
  4. Step 4: Simplify right side
    5,956.64x = 51,133,770.99
  5. Step 5: Solve for x
    x = 51,133,770.99/5,956.64
  6. Step 6: Final answer
    x = 8,584.33

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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.