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Finding the Fourth Proportional to 3,364.53, 4,642.97 and 1,872.47

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Solution

The fourth proportional to 3,364.53, 4,642.97 and 1,872.47 is: 2,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.53 : 4,642.97 = 1,872.47 : x
  2. Step 2: Convert to fraction form
    3,364.53/4,642.97 = 1,872.47/x
  3. Step 3: Cross multiply
    3,364.53x = 4,642.97 × 1,872.47
  4. Step 4: Simplify right side
    3,364.53x = 8,693,789.46
  5. Step 5: Solve for x
    x = 8,693,789.46/3,364.53
  6. Step 6: Final answer
    x = 2,583.95

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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.