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Finding the Fourth Proportional to 4,356.97, 6,532.10 and 2,164.00

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Solution

The fourth proportional to 4,356.97, 6,532.10 and 2,164.00 is: 3,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.97 : 6,532.10 = 2,164.00 : x
  2. Step 2: Convert to fraction form
    4,356.97/6,532.10 = 2,164.00/x
  3. Step 3: Cross multiply
    4,356.97x = 6,532.10 × 2,164.00
  4. Step 4: Simplify right side
    4,356.97x = 14,135,420.92
  5. Step 5: Solve for x
    x = 14,135,420.92/4,356.97
  6. Step 6: Final answer
    x = 3,244.33

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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.