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Finding the Fourth Proportional to 4,072.32, 5,620.56 and 3,822.24

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Solution

The fourth proportional to 4,072.32, 5,620.56 and 3,822.24 is: 5,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.32 : 5,620.56 = 3,822.24 : x
  2. Step 2: Convert to fraction form
    4,072.32/5,620.56 = 3,822.24/x
  3. Step 3: Cross multiply
    4,072.32x = 5,620.56 × 3,822.24
  4. Step 4: Simplify right side
    4,072.32x = 21,483,129.25
  5. Step 5: Solve for x
    x = 21,483,129.25/4,072.32
  6. Step 6: Final answer
    x = 5,275.40

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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.