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Finding the Fourth Proportional to 4,563.96, 6,845.94 and 2,256.12

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Solution

The fourth proportional to 4,563.96, 6,845.94 and 2,256.12 is: 3,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.96 : 6,845.94 = 2,256.12 : x
  2. Step 2: Convert to fraction form
    4,563.96/6,845.94 = 2,256.12/x
  3. Step 3: Cross multiply
    4,563.96x = 6,845.94 × 2,256.12
  4. Step 4: Simplify right side
    4,563.96x = 15,445,262.15
  5. Step 5: Solve for x
    x = 15,445,262.15/4,563.96
  6. Step 6: Final answer
    x = 3,384.18

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.