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Finding the Fourth Proportional to 3,725.76, 5,141.50 and 2,047.16

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Solution

The fourth proportional to 3,725.76, 5,141.50 and 2,047.16 is: 2,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.76 : 5,141.50 = 2,047.16 : x
  2. Step 2: Convert to fraction form
    3,725.76/5,141.50 = 2,047.16/x
  3. Step 3: Cross multiply
    3,725.76x = 5,141.50 × 2,047.16
  4. Step 4: Simplify right side
    3,725.76x = 10,525,473.14
  5. Step 5: Solve for x
    x = 10,525,473.14/3,725.76
  6. Step 6: Final answer
    x = 2,825.05

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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.