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Finding the Fourth Proportional to 5,855.25, 8,782.77 and 1,472.71

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Solution

The fourth proportional to 5,855.25, 8,782.77 and 1,472.71 is: 2,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.25 : 8,782.77 = 1,472.71 : x
  2. Step 2: Convert to fraction form
    5,855.25/8,782.77 = 1,472.71/x
  3. Step 3: Cross multiply
    5,855.25x = 8,782.77 × 1,472.71
  4. Step 4: Simplify right side
    5,855.25x = 12,934,473.21
  5. Step 5: Solve for x
    x = 12,934,473.21/5,855.25
  6. Step 6: Final answer
    x = 2,209.04

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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.