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Finding the Fourth Proportional to 4,764.33, 7,157.48 and 4,567.50

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Solution

The fourth proportional to 4,764.33, 7,157.48 and 4,567.50 is: 6,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.33 : 7,157.48 = 4,567.50 : x
  2. Step 2: Convert to fraction form
    4,764.33/7,157.48 = 4,567.50/x
  3. Step 3: Cross multiply
    4,764.33x = 7,157.48 × 4,567.50
  4. Step 4: Simplify right side
    4,764.33x = 32,691,767.06
  5. Step 5: Solve for x
    x = 32,691,767.06/4,764.33
  6. Step 6: Final answer
    x = 6,861.78

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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.