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Finding the Fourth Proportional to 3,364.31, 4,642.74 and 1,872.35

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Solution

The fourth proportional to 3,364.31, 4,642.74 and 1,872.35 is: 2,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.31 : 4,642.74 = 1,872.35 : x
  2. Step 2: Convert to fraction form
    3,364.31/4,642.74 = 1,872.35/x
  3. Step 3: Cross multiply
    3,364.31x = 4,642.74 × 1,872.35
  4. Step 4: Simplify right side
    3,364.31x = 8,692,811.03
  5. Step 5: Solve for x
    x = 8,692,811.03/3,364.31
  6. Step 6: Final answer
    x = 2,583.84

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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.