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Finding the Fourth Proportional to 5,145.66, 7,718.40 and 2,025.18

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Solution

The fourth proportional to 5,145.66, 7,718.40 and 2,025.18 is: 3,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.66 : 7,718.40 = 2,025.18 : x
  2. Step 2: Convert to fraction form
    5,145.66/7,718.40 = 2,025.18/x
  3. Step 3: Cross multiply
    5,145.66x = 7,718.40 × 2,025.18
  4. Step 4: Simplify right side
    5,145.66x = 15,631,149.31
  5. Step 5: Solve for x
    x = 15,631,149.31/5,145.66
  6. Step 6: Final answer
    x = 3,037.73

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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.