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Finding the Fourth Proportional to 6,421.89, 8,862.85 and 3,769.25

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Solution

The fourth proportional to 6,421.89, 8,862.85 and 3,769.25 is: 5,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.89 : 8,862.85 = 3,769.25 : x
  2. Step 2: Convert to fraction form
    6,421.89/8,862.85 = 3,769.25/x
  3. Step 3: Cross multiply
    6,421.89x = 8,862.85 × 3,769.25
  4. Step 4: Simplify right side
    6,421.89x = 33,406,257.76
  5. Step 5: Solve for x
    x = 33,406,257.76/6,421.89
  6. Step 6: Final answer
    x = 5,201.93

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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.