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Finding the Fourth Proportional to 5,605.66, 7,733.21 and 3,616.85

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Solution

The fourth proportional to 5,605.66, 7,733.21 and 3,616.85 is: 4,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.66 : 7,733.21 = 3,616.85 : x
  2. Step 2: Convert to fraction form
    5,605.66/7,733.21 = 3,616.85/x
  3. Step 3: Cross multiply
    5,605.66x = 7,733.21 × 3,616.85
  4. Step 4: Simplify right side
    5,605.66x = 27,969,860.59
  5. Step 5: Solve for x
    x = 27,969,860.59/5,605.66
  6. Step 6: Final answer
    x = 4,989.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.