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Finding the Fourth Proportional to 4,718.31, 7,078.49 and 1,431.65

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Solution

The fourth proportional to 4,718.31, 7,078.49 and 1,431.65 is: 2,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.31 : 7,078.49 = 1,431.65 : x
  2. Step 2: Convert to fraction form
    4,718.31/7,078.49 = 1,431.65/x
  3. Step 3: Cross multiply
    4,718.31x = 7,078.49 × 1,431.65
  4. Step 4: Simplify right side
    4,718.31x = 10,133,877.66
  5. Step 5: Solve for x
    x = 10,133,877.66/4,718.31
  6. Step 6: Final answer
    x = 2,147.78

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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.