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Finding the Fourth Proportional to 4,322.70, 6,478.92 and 2,475.10

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Solution

The fourth proportional to 4,322.70, 6,478.92 and 2,475.10 is: 3,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.70 : 6,478.92 = 2,475.10 : x
  2. Step 2: Convert to fraction form
    4,322.70/6,478.92 = 2,475.10/x
  3. Step 3: Cross multiply
    4,322.70x = 6,478.92 × 2,475.10
  4. Step 4: Simplify right side
    4,322.70x = 16,035,974.89
  5. Step 5: Solve for x
    x = 16,035,974.89/4,322.70
  6. Step 6: Final answer
    x = 3,709.71

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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.