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Finding the Fourth Proportional to 3,384.53, 5,074.62 and 1,411.52

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Solution

The fourth proportional to 3,384.53, 5,074.62 and 1,411.52 is: 2,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.53 : 5,074.62 = 1,411.52 : x
  2. Step 2: Convert to fraction form
    3,384.53/5,074.62 = 1,411.52/x
  3. Step 3: Cross multiply
    3,384.53x = 5,074.62 × 1,411.52
  4. Step 4: Simplify right side
    3,384.53x = 7,162,927.62
  5. Step 5: Solve for x
    x = 7,162,927.62/3,384.53
  6. Step 6: Final answer
    x = 2,116.37

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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.