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Finding the Fourth Proportional to 5,322.65, 7,983.99 and 2,036.08

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Solution

The fourth proportional to 5,322.65, 7,983.99 and 2,036.08 is: 3,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.65 : 7,983.99 = 2,036.08 : x
  2. Step 2: Convert to fraction form
    5,322.65/7,983.99 = 2,036.08/x
  3. Step 3: Cross multiply
    5,322.65x = 7,983.99 × 2,036.08
  4. Step 4: Simplify right side
    5,322.65x = 16,256,022.40
  5. Step 5: Solve for x
    x = 16,256,022.40/5,322.65
  6. Step 6: Final answer
    x = 3,054.12

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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.