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Finding the Fourth Proportional to 3,725.64, 5,141.43 and 2,047.23

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Solution

The fourth proportional to 3,725.64, 5,141.43 and 2,047.23 is: 2,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.64 : 5,141.43 = 2,047.23 : x
  2. Step 2: Convert to fraction form
    3,725.64/5,141.43 = 2,047.23/x
  3. Step 3: Cross multiply
    3,725.64x = 5,141.43 × 2,047.23
  4. Step 4: Simplify right side
    3,725.64x = 10,525,689.74
  5. Step 5: Solve for x
    x = 10,525,689.74/3,725.64
  6. Step 6: Final answer
    x = 2,825.20

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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.