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Finding the Fourth Proportional to 3,857.84, 5,788.68 and 2,840.24

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Solution

The fourth proportional to 3,857.84, 5,788.68 and 2,840.24 is: 4,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.84 : 5,788.68 = 2,840.24 : x
  2. Step 2: Convert to fraction form
    3,857.84/5,788.68 = 2,840.24/x
  3. Step 3: Cross multiply
    3,857.84x = 5,788.68 × 2,840.24
  4. Step 4: Simplify right side
    3,857.84x = 16,441,240.48
  5. Step 5: Solve for x
    x = 16,441,240.48/3,857.84
  6. Step 6: Final answer
    x = 4,261.77

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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.