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Finding the Fourth Proportional to 4,601.30, 6,352.61 and 2,835.30

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Solution

The fourth proportional to 4,601.30, 6,352.61 and 2,835.30 is: 3,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.30 : 6,352.61 = 2,835.30 : x
  2. Step 2: Convert to fraction form
    4,601.30/6,352.61 = 2,835.30/x
  3. Step 3: Cross multiply
    4,601.30x = 6,352.61 × 2,835.30
  4. Step 4: Simplify right side
    4,601.30x = 18,011,540.96
  5. Step 5: Solve for x
    x = 18,011,540.96/4,601.30
  6. Step 6: Final answer
    x = 3,914.45

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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.