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Finding the Fourth Proportional to 3,955.44, 5,927 and 3,542.32

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Solution

The fourth proportional to 3,955.44, 5,927 and 3,542.32 is: 5,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.44 : 5,927 = 3,542.32 : x
  2. Step 2: Convert to fraction form
    3,955.44/5,927 = 3,542.32/x
  3. Step 3: Cross multiply
    3,955.44x = 5,927 × 3,542.32
  4. Step 4: Simplify right side
    3,955.44x = 20,995,330.64
  5. Step 5: Solve for x
    x = 20,995,330.64/3,955.44
  6. Step 6: Final answer
    x = 5,307.96

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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.