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Finding the Fourth Proportional to 3,754.42, 5,178.80 and 2,633.74

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Solution

The fourth proportional to 3,754.42, 5,178.80 and 2,633.74 is: 3,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.42 : 5,178.80 = 2,633.74 : x
  2. Step 2: Convert to fraction form
    3,754.42/5,178.80 = 2,633.74/x
  3. Step 3: Cross multiply
    3,754.42x = 5,178.80 × 2,633.74
  4. Step 4: Simplify right side
    3,754.42x = 13,639,612.71
  5. Step 5: Solve for x
    x = 13,639,612.71/3,754.42
  6. Step 6: Final answer
    x = 3,632.95

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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.