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Finding the Fourth Proportional to 4,322.46, 6,477.42 and 2,346.42

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Solution

The fourth proportional to 4,322.46, 6,477.42 and 2,346.42 is: 3,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.46 : 6,477.42 = 2,346.42 : x
  2. Step 2: Convert to fraction form
    4,322.46/6,477.42 = 2,346.42/x
  3. Step 3: Cross multiply
    4,322.46x = 6,477.42 × 2,346.42
  4. Step 4: Simplify right side
    4,322.46x = 15,198,731.29
  5. Step 5: Solve for x
    x = 15,198,731.29/4,322.46
  6. Step 6: Final answer
    x = 3,516.22

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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.