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Finding the Fourth Proportional to 3,786.55, 5,681.09 and 1,937.17

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Solution

The fourth proportional to 3,786.55, 5,681.09 and 1,937.17 is: 2,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.55 : 5,681.09 = 1,937.17 : x
  2. Step 2: Convert to fraction form
    3,786.55/5,681.09 = 1,937.17/x
  3. Step 3: Cross multiply
    3,786.55x = 5,681.09 × 1,937.17
  4. Step 4: Simplify right side
    3,786.55x = 11,005,206.21
  5. Step 5: Solve for x
    x = 11,005,206.21/3,786.55
  6. Step 6: Final answer
    x = 2,906.40

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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.