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Finding the Fourth Proportional to 4,605.44, 6,356.87 and 3,982.66

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Solution

The fourth proportional to 4,605.44, 6,356.87 and 3,982.66 is: 5,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.44 : 6,356.87 = 3,982.66 : x
  2. Step 2: Convert to fraction form
    4,605.44/6,356.87 = 3,982.66/x
  3. Step 3: Cross multiply
    4,605.44x = 6,356.87 × 3,982.66
  4. Step 4: Simplify right side
    4,605.44x = 25,317,266.76
  5. Step 5: Solve for x
    x = 25,317,266.76/4,605.44
  6. Step 6: Final answer
    x = 5,497.25

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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.