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Finding the Fourth Proportional to 3,751.12, 5,164.32 and 3,252.16

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Solution

The fourth proportional to 3,751.12, 5,164.32 and 3,252.16 is: 4,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.12 : 5,164.32 = 3,252.16 : x
  2. Step 2: Convert to fraction form
    3,751.12/5,164.32 = 3,252.16/x
  3. Step 3: Cross multiply
    3,751.12x = 5,164.32 × 3,252.16
  4. Step 4: Simplify right side
    3,751.12x = 16,795,194.93
  5. Step 5: Solve for x
    x = 16,795,194.93/3,751.12
  6. Step 6: Final answer
    x = 4,477.38

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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.