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Finding the Fourth Proportional to 6,484.20, 8,945.14 and 3,829.84

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Solution

The fourth proportional to 6,484.20, 8,945.14 and 3,829.84 is: 5,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.20 : 8,945.14 = 3,829.84 : x
  2. Step 2: Convert to fraction form
    6,484.20/8,945.14 = 3,829.84/x
  3. Step 3: Cross multiply
    6,484.20x = 8,945.14 × 3,829.84
  4. Step 4: Simplify right side
    6,484.20x = 34,258,454.98
  5. Step 5: Solve for x
    x = 34,258,454.98/6,484.20
  6. Step 6: Final answer
    x = 5,283.37

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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.