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Finding the Fourth Proportional to 5,723.84, 8,571.04 and 5,072.64

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Solution

The fourth proportional to 5,723.84, 8,571.04 and 5,072.64 is: 7,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.84 : 8,571.04 = 5,072.64 : x
  2. Step 2: Convert to fraction form
    5,723.84/8,571.04 = 5,072.64/x
  3. Step 3: Cross multiply
    5,723.84x = 8,571.04 × 5,072.64
  4. Step 4: Simplify right side
    5,723.84x = 43,477,800.35
  5. Step 5: Solve for x
    x = 43,477,800.35/5,723.84
  6. Step 6: Final answer
    x = 7,595.91

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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.