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Finding the Fourth Proportional to 3,858.96, 5,325.05 and 2,265.44

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Solution

The fourth proportional to 3,858.96, 5,325.05 and 2,265.44 is: 3,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.96 : 5,325.05 = 2,265.44 : x
  2. Step 2: Convert to fraction form
    3,858.96/5,325.05 = 2,265.44/x
  3. Step 3: Cross multiply
    3,858.96x = 5,325.05 × 2,265.44
  4. Step 4: Simplify right side
    3,858.96x = 12,063,581.27
  5. Step 5: Solve for x
    x = 12,063,581.27/3,858.96
  6. Step 6: Final answer
    x = 3,126.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.