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Finding the Fourth Proportional to 5,471.24, 8,205.14 and 1,772.70

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Solution

The fourth proportional to 5,471.24, 8,205.14 and 1,772.70 is: 2,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.24 : 8,205.14 = 1,772.70 : x
  2. Step 2: Convert to fraction form
    5,471.24/8,205.14 = 1,772.70/x
  3. Step 3: Cross multiply
    5,471.24x = 8,205.14 × 1,772.70
  4. Step 4: Simplify right side
    5,471.24x = 14,545,242.81
  5. Step 5: Solve for x
    x = 14,545,242.81/5,471.24
  6. Step 6: Final answer
    x = 2,658.49

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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.