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Finding the Fourth Proportional to 4,971.63, 7,457.06 and 2,198.40

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Solution

The fourth proportional to 4,971.63, 7,457.06 and 2,198.40 is: 3,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.63 : 7,457.06 = 2,198.40 : x
  2. Step 2: Convert to fraction form
    4,971.63/7,457.06 = 2,198.40/x
  3. Step 3: Cross multiply
    4,971.63x = 7,457.06 × 2,198.40
  4. Step 4: Simplify right side
    4,971.63x = 16,393,557.92
  5. Step 5: Solve for x
    x = 16,393,557.92/4,971.63
  6. Step 6: Final answer
    x = 3,297.42

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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.