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Finding the Fourth Proportional to 3,857.60, 5,790.72 and 2,561.60

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Solution

The fourth proportional to 3,857.60, 5,790.72 and 2,561.60 is: 3,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.60 : 5,790.72 = 2,561.60 : x
  2. Step 2: Convert to fraction form
    3,857.60/5,790.72 = 2,561.60/x
  3. Step 3: Cross multiply
    3,857.60x = 5,790.72 × 2,561.60
  4. Step 4: Simplify right side
    3,857.60x = 14,833,508.35
  5. Step 5: Solve for x
    x = 14,833,508.35/3,857.60
  6. Step 6: Final answer
    x = 3,845.27

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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.