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Finding the Fourth Proportional to 4,981.64, 7,462.74 and 3,662.96

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Solution

The fourth proportional to 4,981.64, 7,462.74 and 3,662.96 is: 5,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.64 : 7,462.74 = 3,662.96 : x
  2. Step 2: Convert to fraction form
    4,981.64/7,462.74 = 3,662.96/x
  3. Step 3: Cross multiply
    4,981.64x = 7,462.74 × 3,662.96
  4. Step 4: Simplify right side
    4,981.64x = 27,335,718.11
  5. Step 5: Solve for x
    x = 27,335,718.11/4,981.64
  6. Step 6: Final answer
    x = 5,487.29

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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.