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Finding the Fourth Proportional to 4,322.96, 6,480.39 and 2,345.69

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Solution

The fourth proportional to 4,322.96, 6,480.39 and 2,345.69 is: 3,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.96 : 6,480.39 = 2,345.69 : x
  2. Step 2: Convert to fraction form
    4,322.96/6,480.39 = 2,345.69/x
  3. Step 3: Cross multiply
    4,322.96x = 6,480.39 × 2,345.69
  4. Step 4: Simplify right side
    4,322.96x = 15,200,997.82
  5. Step 5: Solve for x
    x = 15,200,997.82/4,322.96
  6. Step 6: Final answer
    x = 3,516.34

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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.