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Finding the Fourth Proportional to 3,655.74, 5,478.14 and 3,382.37

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Solution

The fourth proportional to 3,655.74, 5,478.14 and 3,382.37 is: 5,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.74 : 5,478.14 = 3,382.37 : x
  2. Step 2: Convert to fraction form
    3,655.74/5,478.14 = 3,382.37/x
  3. Step 3: Cross multiply
    3,655.74x = 5,478.14 × 3,382.37
  4. Step 4: Simplify right side
    3,655.74x = 18,529,052.09
  5. Step 5: Solve for x
    x = 18,529,052.09/3,655.74
  6. Step 6: Final answer
    x = 5,068.48

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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.