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Finding the Fourth Proportional to 3,885.24, 5,827.80 and 963.57

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Solution

The fourth proportional to 3,885.24, 5,827.80 and 963.57 is: 1,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.24 : 5,827.80 = 963.57 : x
  2. Step 2: Convert to fraction form
    3,885.24/5,827.80 = 963.57/x
  3. Step 3: Cross multiply
    3,885.24x = 5,827.80 × 963.57
  4. Step 4: Simplify right side
    3,885.24x = 5,615,493.25
  5. Step 5: Solve for x
    x = 5,615,493.25/3,885.24
  6. Step 6: Final answer
    x = 1,445.34

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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.