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Finding the Fourth Proportional to 4,676.40, 6,424.65 and 3,789.54

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Solution

The fourth proportional to 4,676.40, 6,424.65 and 3,789.54 is: 5,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.40 : 6,424.65 = 3,789.54 : x
  2. Step 2: Convert to fraction form
    4,676.40/6,424.65 = 3,789.54/x
  3. Step 3: Cross multiply
    4,676.40x = 6,424.65 × 3,789.54
  4. Step 4: Simplify right side
    4,676.40x = 24,346,468.16
  5. Step 5: Solve for x
    x = 24,346,468.16/4,676.40
  6. Step 6: Final answer
    x = 5,206.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.