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Finding the Fourth Proportional to 3,857.60, 5,787 and 1,392.92

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Solution

The fourth proportional to 3,857.60, 5,787 and 1,392.92 is: 2,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.60 : 5,787 = 1,392.92 : x
  2. Step 2: Convert to fraction form
    3,857.60/5,787 = 1,392.92/x
  3. Step 3: Cross multiply
    3,857.60x = 5,787 × 1,392.92
  4. Step 4: Simplify right side
    3,857.60x = 8,060,828.04
  5. Step 5: Solve for x
    x = 8,060,828.04/3,857.60
  6. Step 6: Final answer
    x = 2,089.60

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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.