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Finding the Fourth Proportional to 5,653.74, 8,472.38 and 2,728.62

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Solution

The fourth proportional to 5,653.74, 8,472.38 and 2,728.62 is: 4,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.74 : 8,472.38 = 2,728.62 : x
  2. Step 2: Convert to fraction form
    5,653.74/8,472.38 = 2,728.62/x
  3. Step 3: Cross multiply
    5,653.74x = 8,472.38 × 2,728.62
  4. Step 4: Simplify right side
    5,653.74x = 23,117,905.52
  5. Step 5: Solve for x
    x = 23,117,905.52/5,653.74
  6. Step 6: Final answer
    x = 4,088.96

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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.