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Finding the Fourth Proportional to 3,857.66, 5,786.95 and 1,393.64

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Solution

The fourth proportional to 3,857.66, 5,786.95 and 1,393.64 is: 2,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.66 : 5,786.95 = 1,393.64 : x
  2. Step 2: Convert to fraction form
    3,857.66/5,786.95 = 1,393.64/x
  3. Step 3: Cross multiply
    3,857.66x = 5,786.95 × 1,393.64
  4. Step 4: Simplify right side
    3,857.66x = 8,064,925.00
  5. Step 5: Solve for x
    x = 8,064,925.00/3,857.66
  6. Step 6: Final answer
    x = 2,090.63

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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.