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Finding the Fourth Proportional to 3,725.84, 5,141.41 and 2,233.01

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Solution

The fourth proportional to 3,725.84, 5,141.41 and 2,233.01 is: 3,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.84 : 5,141.41 = 2,233.01 : x
  2. Step 2: Convert to fraction form
    3,725.84/5,141.41 = 2,233.01/x
  3. Step 3: Cross multiply
    3,725.84x = 5,141.41 × 2,233.01
  4. Step 4: Simplify right side
    3,725.84x = 11,480,827.22
  5. Step 5: Solve for x
    x = 11,480,827.22/3,725.84
  6. Step 6: Final answer
    x = 3,081.40

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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.