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Finding the Fourth Proportional to 3,563.63, 5,346.26 and 1,255.13

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Solution

The fourth proportional to 3,563.63, 5,346.26 and 1,255.13 is: 1,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.63 : 5,346.26 = 1,255.13 : x
  2. Step 2: Convert to fraction form
    3,563.63/5,346.26 = 1,255.13/x
  3. Step 3: Cross multiply
    3,563.63x = 5,346.26 × 1,255.13
  4. Step 4: Simplify right side
    3,563.63x = 6,710,227.72
  5. Step 5: Solve for x
    x = 6,710,227.72/3,563.63
  6. Step 6: Final answer
    x = 1,882.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.