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Finding the Fourth Proportional to 3,364.68, 4,643.06 and 1,872.30

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Solution

The fourth proportional to 3,364.68, 4,643.06 and 1,872.30 is: 2,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.68 : 4,643.06 = 1,872.30 : x
  2. Step 2: Convert to fraction form
    3,364.68/4,643.06 = 1,872.30/x
  3. Step 3: Cross multiply
    3,364.68x = 4,643.06 × 1,872.30
  4. Step 4: Simplify right side
    3,364.68x = 8,693,201.24
  5. Step 5: Solve for x
    x = 8,693,201.24/3,364.68
  6. Step 6: Final answer
    x = 2,583.66

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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.