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Finding the Fourth Proportional to 3,563.55, 4,914.97 and 2,145.76

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Solution

The fourth proportional to 3,563.55, 4,914.97 and 2,145.76 is: 2,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.55 : 4,914.97 = 2,145.76 : x
  2. Step 2: Convert to fraction form
    3,563.55/4,914.97 = 2,145.76/x
  3. Step 3: Cross multiply
    3,563.55x = 4,914.97 × 2,145.76
  4. Step 4: Simplify right side
    3,563.55x = 10,546,328.38
  5. Step 5: Solve for x
    x = 10,546,328.38/3,563.55
  6. Step 6: Final answer
    x = 2,959.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.