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Finding the Fourth Proportional to 4,574.54, 6,302.80 and 3,229.54

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Solution

The fourth proportional to 4,574.54, 6,302.80 and 3,229.54 is: 4,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.54 : 6,302.80 = 3,229.54 : x
  2. Step 2: Convert to fraction form
    4,574.54/6,302.80 = 3,229.54/x
  3. Step 3: Cross multiply
    4,574.54x = 6,302.80 × 3,229.54
  4. Step 4: Simplify right side
    4,574.54x = 20,355,144.71
  5. Step 5: Solve for x
    x = 20,355,144.71/4,574.54
  6. Step 6: Final answer
    x = 4,449.66

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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.