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Finding the Fourth Proportional to 4,321.56, 6,480.72 and 3,407.88

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Solution

The fourth proportional to 4,321.56, 6,480.72 and 3,407.88 is: 5,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.56 : 6,480.72 = 3,407.88 : x
  2. Step 2: Convert to fraction form
    4,321.56/6,480.72 = 3,407.88/x
  3. Step 3: Cross multiply
    4,321.56x = 6,480.72 × 3,407.88
  4. Step 4: Simplify right side
    4,321.56x = 22,085,516.07
  5. Step 5: Solve for x
    x = 22,085,516.07/4,321.56
  6. Step 6: Final answer
    x = 5,110.54

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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.