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Finding the Fourth Proportional to 5,772.11, 8,658.17 and 1,823.76

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Solution

The fourth proportional to 5,772.11, 8,658.17 and 1,823.76 is: 2,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.11 : 8,658.17 = 1,823.76 : x
  2. Step 2: Convert to fraction form
    5,772.11/8,658.17 = 1,823.76/x
  3. Step 3: Cross multiply
    5,772.11x = 8,658.17 × 1,823.76
  4. Step 4: Simplify right side
    5,772.11x = 15,790,415.00
  5. Step 5: Solve for x
    x = 15,790,415.00/5,772.11
  6. Step 6: Final answer
    x = 2,735.64

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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.