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Finding the Fourth Proportional to 3,968.96, 5,475.62 and 2,552.45

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Solution

The fourth proportional to 3,968.96, 5,475.62 and 2,552.45 is: 3,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.96 : 5,475.62 = 2,552.45 : x
  2. Step 2: Convert to fraction form
    3,968.96/5,475.62 = 2,552.45/x
  3. Step 3: Cross multiply
    3,968.96x = 5,475.62 × 2,552.45
  4. Step 4: Simplify right side
    3,968.96x = 13,976,253.58
  5. Step 5: Solve for x
    x = 13,976,253.58/3,968.96
  6. Step 6: Final answer
    x = 3,521.39

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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.