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Finding the Fourth Proportional to 3,885.44, 5,823.07 and 1,544.20

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Solution

The fourth proportional to 3,885.44, 5,823.07 and 1,544.20 is: 2,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.44 : 5,823.07 = 1,544.20 : x
  2. Step 2: Convert to fraction form
    3,885.44/5,823.07 = 1,544.20/x
  3. Step 3: Cross multiply
    3,885.44x = 5,823.07 × 1,544.20
  4. Step 4: Simplify right side
    3,885.44x = 8,991,966.28
  5. Step 5: Solve for x
    x = 8,991,966.28/3,885.44
  6. Step 6: Final answer
    x = 2,314.28

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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.