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Finding the Fourth Proportional to 4,310.78, 6,471.02 and 1,715.54

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Solution

The fourth proportional to 4,310.78, 6,471.02 and 1,715.54 is: 2,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.78 : 6,471.02 = 1,715.54 : x
  2. Step 2: Convert to fraction form
    4,310.78/6,471.02 = 1,715.54/x
  3. Step 3: Cross multiply
    4,310.78x = 6,471.02 × 1,715.54
  4. Step 4: Simplify right side
    4,310.78x = 11,101,293.65
  5. Step 5: Solve for x
    x = 11,101,293.65/4,310.78
  6. Step 6: Final answer
    x = 2,575.24

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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.