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Finding the Fourth Proportional to 5,723.82, 8,574.19 and 4,796.78

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Solution

The fourth proportional to 5,723.82, 8,574.19 and 4,796.78 is: 7,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.82 : 8,574.19 = 4,796.78 : x
  2. Step 2: Convert to fraction form
    5,723.82/8,574.19 = 4,796.78/x
  3. Step 3: Cross multiply
    5,723.82x = 8,574.19 × 4,796.78
  4. Step 4: Simplify right side
    5,723.82x = 41,128,503.11
  5. Step 5: Solve for x
    x = 41,128,503.11/5,723.82
  6. Step 6: Final answer
    x = 7,185.50

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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.