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Finding the Fourth Proportional to 3,376.54, 5,065.44 and 1,296.46

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Solution

The fourth proportional to 3,376.54, 5,065.44 and 1,296.46 is: 1,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.54 : 5,065.44 = 1,296.46 : x
  2. Step 2: Convert to fraction form
    3,376.54/5,065.44 = 1,296.46/x
  3. Step 3: Cross multiply
    3,376.54x = 5,065.44 × 1,296.46
  4. Step 4: Simplify right side
    3,376.54x = 6,567,140.34
  5. Step 5: Solve for x
    x = 6,567,140.34/3,376.54
  6. Step 6: Final answer
    x = 1,944.93

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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.