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Finding the Fourth Proportional to 3,681.92, 5,523.71 and 1,217.00

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Solution

The fourth proportional to 3,681.92, 5,523.71 and 1,217.00 is: 1,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.92 : 5,523.71 = 1,217.00 : x
  2. Step 2: Convert to fraction form
    3,681.92/5,523.71 = 1,217.00/x
  3. Step 3: Cross multiply
    3,681.92x = 5,523.71 × 1,217.00
  4. Step 4: Simplify right side
    3,681.92x = 6,722,321.37
  5. Step 5: Solve for x
    x = 6,722,321.37/3,681.92
  6. Step 6: Final answer
    x = 1,825.77

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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.