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Finding the Fourth Proportional to 4,575.72, 6,305.52 and 3,738.60

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Solution

The fourth proportional to 4,575.72, 6,305.52 and 3,738.60 is: 5,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.72 : 6,305.52 = 3,738.60 : x
  2. Step 2: Convert to fraction form
    4,575.72/6,305.52 = 3,738.60/x
  3. Step 3: Cross multiply
    4,575.72x = 6,305.52 × 3,738.60
  4. Step 4: Simplify right side
    4,575.72x = 23,573,817.07
  5. Step 5: Solve for x
    x = 23,573,817.07/4,575.72
  6. Step 6: Final answer
    x = 5,151.94

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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.