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Finding the Fourth Proportional to 4,095, 5,651.28 and 2,232

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Solution

The fourth proportional to 4,095, 5,651.28 and 2,232 is: 3,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095 : 5,651.28 = 2,232 : x
  2. Step 2: Convert to fraction form
    4,095/5,651.28 = 2,232/x
  3. Step 3: Cross multiply
    4,095x = 5,651.28 × 2,232
  4. Step 4: Simplify right side
    4,095x = 12,613,656.96
  5. Step 5: Solve for x
    x = 12,613,656.96/4,095
  6. Step 6: Final answer
    x = 3,080.26

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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.