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Finding the Fourth Proportional to 3,364.21, 4,642.54 and 1,872.07

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Solution

The fourth proportional to 3,364.21, 4,642.54 and 1,872.07 is: 2,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.21 : 4,642.54 = 1,872.07 : x
  2. Step 2: Convert to fraction form
    3,364.21/4,642.54 = 1,872.07/x
  3. Step 3: Cross multiply
    3,364.21x = 4,642.54 × 1,872.07
  4. Step 4: Simplify right side
    3,364.21x = 8,691,159.86
  5. Step 5: Solve for x
    x = 8,691,159.86/3,364.21
  6. Step 6: Final answer
    x = 2,583.42

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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.