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Finding the Fourth Proportional to 4,266.08, 5,896.32 and 3,216.32

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Solution

The fourth proportional to 4,266.08, 5,896.32 and 3,216.32 is: 4,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.08 : 5,896.32 = 3,216.32 : x
  2. Step 2: Convert to fraction form
    4,266.08/5,896.32 = 3,216.32/x
  3. Step 3: Cross multiply
    4,266.08x = 5,896.32 × 3,216.32
  4. Step 4: Simplify right side
    4,266.08x = 18,964,451.94
  5. Step 5: Solve for x
    x = 18,964,451.94/4,266.08
  6. Step 6: Final answer
    x = 4,445.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.