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Finding the Fourth Proportional to 4,676.04, 6,452.04 and 2,787.80

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Solution

The fourth proportional to 4,676.04, 6,452.04 and 2,787.80 is: 3,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.04 : 6,452.04 = 2,787.80 : x
  2. Step 2: Convert to fraction form
    4,676.04/6,452.04 = 2,787.80/x
  3. Step 3: Cross multiply
    4,676.04x = 6,452.04 × 2,787.80
  4. Step 4: Simplify right side
    4,676.04x = 17,986,975.31
  5. Step 5: Solve for x
    x = 17,986,975.31/4,676.04
  6. Step 6: Final answer
    x = 3,846.63

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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.