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Finding the Fourth Proportional to 4,532.56, 6,787.56 and 2,884.24

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Solution

The fourth proportional to 4,532.56, 6,787.56 and 2,884.24 is: 4,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.56 : 6,787.56 = 2,884.24 : x
  2. Step 2: Convert to fraction form
    4,532.56/6,787.56 = 2,884.24/x
  3. Step 3: Cross multiply
    4,532.56x = 6,787.56 × 2,884.24
  4. Step 4: Simplify right side
    4,532.56x = 19,576,952.05
  5. Step 5: Solve for x
    x = 19,576,952.05/4,532.56
  6. Step 6: Final answer
    x = 4,319.18

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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.