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Finding the Fourth Proportional to 5,728.54, 8,631.83 and 4,711.32

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Solution

The fourth proportional to 5,728.54, 8,631.83 and 4,711.32 is: 7,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.54 : 8,631.83 = 4,711.32 : x
  2. Step 2: Convert to fraction form
    5,728.54/8,631.83 = 4,711.32/x
  3. Step 3: Cross multiply
    5,728.54x = 8,631.83 × 4,711.32
  4. Step 4: Simplify right side
    5,728.54x = 40,667,313.32
  5. Step 5: Solve for x
    x = 40,667,313.32/5,728.54
  6. Step 6: Final answer
    x = 7,099.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.