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Finding the Fourth Proportional to 3,923.96, 5,885.95 and 962.41

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Solution

The fourth proportional to 3,923.96, 5,885.95 and 962.41 is: 1,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.96 : 5,885.95 = 962.41 : x
  2. Step 2: Convert to fraction form
    3,923.96/5,885.95 = 962.41/x
  3. Step 3: Cross multiply
    3,923.96x = 5,885.95 × 962.41
  4. Step 4: Simplify right side
    3,923.96x = 5,664,711.32
  5. Step 5: Solve for x
    x = 5,664,711.32/3,923.96
  6. Step 6: Final answer
    x = 1,443.62

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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.