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Finding the Fourth Proportional to 4,096.96, 5,653.96 and 2,328.64

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Solution

The fourth proportional to 4,096.96, 5,653.96 and 2,328.64 is: 3,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.96 : 5,653.96 = 2,328.64 : x
  2. Step 2: Convert to fraction form
    4,096.96/5,653.96 = 2,328.64/x
  3. Step 3: Cross multiply
    4,096.96x = 5,653.96 × 2,328.64
  4. Step 4: Simplify right side
    4,096.96x = 13,166,037.41
  5. Step 5: Solve for x
    x = 13,166,037.41/4,096.96
  6. Step 6: Final answer
    x = 3,213.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.