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Finding the Fourth Proportional to 5,736.36, 8,606.60 and 2,816.32

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Solution

The fourth proportional to 5,736.36, 8,606.60 and 2,816.32 is: 4,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.36 : 8,606.60 = 2,816.32 : x
  2. Step 2: Convert to fraction form
    5,736.36/8,606.60 = 2,816.32/x
  3. Step 3: Cross multiply
    5,736.36x = 8,606.60 × 2,816.32
  4. Step 4: Simplify right side
    5,736.36x = 24,238,939.71
  5. Step 5: Solve for x
    x = 24,238,939.71/5,736.36
  6. Step 6: Final answer
    x = 4,225.49

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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.