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Finding the Fourth Proportional to 3,490.76, 5,236.00 and 1,182.26

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Solution

The fourth proportional to 3,490.76, 5,236.00 and 1,182.26 is: 1,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.76 : 5,236.00 = 1,182.26 : x
  2. Step 2: Convert to fraction form
    3,490.76/5,236.00 = 1,182.26/x
  3. Step 3: Cross multiply
    3,490.76x = 5,236.00 × 1,182.26
  4. Step 4: Simplify right side
    3,490.76x = 6,190,284.22
  5. Step 5: Solve for x
    x = 6,190,284.22/3,490.76
  6. Step 6: Final answer
    x = 1,773.34

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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.