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Finding the Fourth Proportional to 3,243.80, 4,859.30 and 3,013.40

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Solution

The fourth proportional to 3,243.80, 4,859.30 and 3,013.40 is: 4,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.80 : 4,859.30 = 3,013.40 : x
  2. Step 2: Convert to fraction form
    3,243.80/4,859.30 = 3,013.40/x
  3. Step 3: Cross multiply
    3,243.80x = 4,859.30 × 3,013.40
  4. Step 4: Simplify right side
    3,243.80x = 14,643,014.62
  5. Step 5: Solve for x
    x = 14,643,014.62/3,243.80
  6. Step 6: Final answer
    x = 4,514.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.