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Finding the Fourth Proportional to 3,886.45, 5,452.55 and 3,886.45

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Solution

The fourth proportional to 3,886.45, 5,452.55 and 3,886.45 is: 5,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.45 : 5,452.55 = 3,886.45 : x
  2. Step 2: Convert to fraction form
    3,886.45/5,452.55 = 3,886.45/x
  3. Step 3: Cross multiply
    3,886.45x = 5,452.55 × 3,886.45
  4. Step 4: Simplify right side
    3,886.45x = 21,191,062.95
  5. Step 5: Solve for x
    x = 21,191,062.95/3,886.45
  6. Step 6: Final answer
    x = 5,452.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.