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Finding the Fourth Proportional to 5,205.94, 7,812.18 and 2,742.53

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Solution

The fourth proportional to 5,205.94, 7,812.18 and 2,742.53 is: 4,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.94 : 7,812.18 = 2,742.53 : x
  2. Step 2: Convert to fraction form
    5,205.94/7,812.18 = 2,742.53/x
  3. Step 3: Cross multiply
    5,205.94x = 7,812.18 × 2,742.53
  4. Step 4: Simplify right side
    5,205.94x = 21,425,098.95
  5. Step 5: Solve for x
    x = 21,425,098.95/5,205.94
  6. Step 6: Final answer
    x = 4,115.51

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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.