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Finding the Fourth Proportional to 4,617.82, 6,927.11 and 1,496.60

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Solution

The fourth proportional to 4,617.82, 6,927.11 and 1,496.60 is: 2,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.82 : 6,927.11 = 1,496.60 : x
  2. Step 2: Convert to fraction form
    4,617.82/6,927.11 = 1,496.60/x
  3. Step 3: Cross multiply
    4,617.82x = 6,927.11 × 1,496.60
  4. Step 4: Simplify right side
    4,617.82x = 10,367,111.08
  5. Step 5: Solve for x
    x = 10,367,111.08/4,617.82
  6. Step 6: Final answer
    x = 2,245.02

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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.