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Finding the Fourth Proportional to 3,378.74, 4,662.53 and 2,120.47

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Solution

The fourth proportional to 3,378.74, 4,662.53 and 2,120.47 is: 2,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.74 : 4,662.53 = 2,120.47 : x
  2. Step 2: Convert to fraction form
    3,378.74/4,662.53 = 2,120.47/x
  3. Step 3: Cross multiply
    3,378.74x = 4,662.53 × 2,120.47
  4. Step 4: Simplify right side
    3,378.74x = 9,886,754.99
  5. Step 5: Solve for x
    x = 9,886,754.99/3,378.74
  6. Step 6: Final answer
    x = 2,926.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.