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Finding the Fourth Proportional to 4,677.81, 7,012.99 and 2,701.19

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Solution

The fourth proportional to 4,677.81, 7,012.99 and 2,701.19 is: 4,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.81 : 7,012.99 = 2,701.19 : x
  2. Step 2: Convert to fraction form
    4,677.81/7,012.99 = 2,701.19/x
  3. Step 3: Cross multiply
    4,677.81x = 7,012.99 × 2,701.19
  4. Step 4: Simplify right side
    4,677.81x = 18,943,426.71
  5. Step 5: Solve for x
    x = 18,943,426.71/4,677.81
  6. Step 6: Final answer
    x = 4,049.64

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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.