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Finding the Fourth Proportional to 5,111.84, 7,668.14 and 2,190.16

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Solution

The fourth proportional to 5,111.84, 7,668.14 and 2,190.16 is: 3,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.84 : 7,668.14 = 2,190.16 : x
  2. Step 2: Convert to fraction form
    5,111.84/7,668.14 = 2,190.16/x
  3. Step 3: Cross multiply
    5,111.84x = 7,668.14 × 2,190.16
  4. Step 4: Simplify right side
    5,111.84x = 16,794,453.50
  5. Step 5: Solve for x
    x = 16,794,453.50/5,111.84
  6. Step 6: Final answer
    x = 3,285.40

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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.