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Finding the Fourth Proportional to 4,159.55, 5,735.79 and 3,215.49

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Solution

The fourth proportional to 4,159.55, 5,735.79 and 3,215.49 is: 4,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.55 : 5,735.79 = 3,215.49 : x
  2. Step 2: Convert to fraction form
    4,159.55/5,735.79 = 3,215.49/x
  3. Step 3: Cross multiply
    4,159.55x = 5,735.79 × 3,215.49
  4. Step 4: Simplify right side
    4,159.55x = 18,443,359.31
  5. Step 5: Solve for x
    x = 18,443,359.31/4,159.55
  6. Step 6: Final answer
    x = 4,433.98

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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.