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Finding the Fourth Proportional to 4,616.96, 6,925.26 and 1,496.96

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Solution

The fourth proportional to 4,616.96, 6,925.26 and 1,496.96 is: 2,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.96 : 6,925.26 = 1,496.96 : x
  2. Step 2: Convert to fraction form
    4,616.96/6,925.26 = 1,496.96/x
  3. Step 3: Cross multiply
    4,616.96x = 6,925.26 × 1,496.96
  4. Step 4: Simplify right side
    4,616.96x = 10,366,837.21
  5. Step 5: Solve for x
    x = 10,366,837.21/4,616.96
  6. Step 6: Final answer
    x = 2,245.38

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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.