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Finding the Fourth Proportional to 5,749.54, 7,926.33 and 4,861.78

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Solution

The fourth proportional to 5,749.54, 7,926.33 and 4,861.78 is: 6,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.54 : 7,926.33 = 4,861.78 : x
  2. Step 2: Convert to fraction form
    5,749.54/7,926.33 = 4,861.78/x
  3. Step 3: Cross multiply
    5,749.54x = 7,926.33 × 4,861.78
  4. Step 4: Simplify right side
    5,749.54x = 38,536,072.67
  5. Step 5: Solve for x
    x = 38,536,072.67/5,749.54
  6. Step 6: Final answer
    x = 6,702.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.