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Finding the Fourth Proportional to 3,647.63, 5,470.97 and 1,182.20

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Solution

The fourth proportional to 3,647.63, 5,470.97 and 1,182.20 is: 1,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.63 : 5,470.97 = 1,182.20 : x
  2. Step 2: Convert to fraction form
    3,647.63/5,470.97 = 1,182.20/x
  3. Step 3: Cross multiply
    3,647.63x = 5,470.97 × 1,182.20
  4. Step 4: Simplify right side
    3,647.63x = 6,467,747.47
  5. Step 5: Solve for x
    x = 6,467,747.47/3,647.63
  6. Step 6: Final answer
    x = 1,773.14

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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.