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Finding the Fourth Proportional to 5,155.76, 7,733.28 and 1,645.70

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Solution

The fourth proportional to 5,155.76, 7,733.28 and 1,645.70 is: 2,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.76 : 7,733.28 = 1,645.70 : x
  2. Step 2: Convert to fraction form
    5,155.76/7,733.28 = 1,645.70/x
  3. Step 3: Cross multiply
    5,155.76x = 7,733.28 × 1,645.70
  4. Step 4: Simplify right side
    5,155.76x = 12,726,658.90
  5. Step 5: Solve for x
    x = 12,726,658.90/5,155.76
  6. Step 6: Final answer
    x = 2,468.44

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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.