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Finding the Fourth Proportional to 3,877.22, 5,815.78 and 955.53

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Solution

The fourth proportional to 3,877.22, 5,815.78 and 955.53 is: 1,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.22 : 5,815.78 = 955.53 : x
  2. Step 2: Convert to fraction form
    3,877.22/5,815.78 = 955.53/x
  3. Step 3: Cross multiply
    3,877.22x = 5,815.78 × 955.53
  4. Step 4: Simplify right side
    3,877.22x = 5,557,149.87
  5. Step 5: Solve for x
    x = 5,557,149.87/3,877.22
  6. Step 6: Final answer
    x = 1,433.28

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1.5x scale

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.