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Finding the Fourth Proportional to 4,699.28, 6,481.41 and 3,285.47

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Solution

The fourth proportional to 4,699.28, 6,481.41 and 3,285.47 is: 4,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.28 : 6,481.41 = 3,285.47 : x
  2. Step 2: Convert to fraction form
    4,699.28/6,481.41 = 3,285.47/x
  3. Step 3: Cross multiply
    4,699.28x = 6,481.41 × 3,285.47
  4. Step 4: Simplify right side
    4,699.28x = 21,294,445.71
  5. Step 5: Solve for x
    x = 21,294,445.71/4,699.28
  6. Step 6: Final answer
    x = 4,531.43

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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.