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Finding the Fourth Proportional to 5,728.05, 8,594.82 and 4,952.88

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Solution

The fourth proportional to 5,728.05, 8,594.82 and 4,952.88 is: 7,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.05 : 8,594.82 = 4,952.88 : x
  2. Step 2: Convert to fraction form
    5,728.05/8,594.82 = 4,952.88/x
  3. Step 3: Cross multiply
    5,728.05x = 8,594.82 × 4,952.88
  4. Step 4: Simplify right side
    5,728.05x = 42,569,112.08
  5. Step 5: Solve for x
    x = 42,569,112.08/5,728.05
  6. Step 6: Final answer
    x = 7,431.69

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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.