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Finding the Fourth Proportional to 4,813.63, 7,219.40 and 2,810.98

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Solution

The fourth proportional to 4,813.63, 7,219.40 and 2,810.98 is: 4,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.63 : 7,219.40 = 2,810.98 : x
  2. Step 2: Convert to fraction form
    4,813.63/7,219.40 = 2,810.98/x
  3. Step 3: Cross multiply
    4,813.63x = 7,219.40 × 2,810.98
  4. Step 4: Simplify right side
    4,813.63x = 20,293,589.01
  5. Step 5: Solve for x
    x = 20,293,589.01/4,813.63
  6. Step 6: Final answer
    x = 4,215.86

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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.