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Finding the Fourth Proportional to 5,234.72, 7,852.08 and 4,215.20

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Solution

The fourth proportional to 5,234.72, 7,852.08 and 4,215.20 is: 6,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.72 : 7,852.08 = 4,215.20 : x
  2. Step 2: Convert to fraction form
    5,234.72/7,852.08 = 4,215.20/x
  3. Step 3: Cross multiply
    5,234.72x = 7,852.08 × 4,215.20
  4. Step 4: Simplify right side
    5,234.72x = 33,098,087.62
  5. Step 5: Solve for x
    x = 33,098,087.62/5,234.72
  6. Step 6: Final answer
    x = 6,322.80

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Similar ratio
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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.