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Finding the Fourth Proportional to 5,322.92, 7,983.29 and 5,059.46

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Solution

The fourth proportional to 5,322.92, 7,983.29 and 5,059.46 is: 7,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.92 : 7,983.29 = 5,059.46 : x
  2. Step 2: Convert to fraction form
    5,322.92/7,983.29 = 5,059.46/x
  3. Step 3: Cross multiply
    5,322.92x = 7,983.29 × 5,059.46
  4. Step 4: Simplify right side
    5,322.92x = 40,391,169.03
  5. Step 5: Solve for x
    x = 40,391,169.03/5,322.92
  6. Step 6: Final answer
    x = 7,588.17

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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.