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Finding the Fourth Proportional to 3,725.95, 5,141.50 and 2,047.27

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Solution

The fourth proportional to 3,725.95, 5,141.50 and 2,047.27 is: 2,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.95 : 5,141.50 = 2,047.27 : x
  2. Step 2: Convert to fraction form
    3,725.95/5,141.50 = 2,047.27/x
  3. Step 3: Cross multiply
    3,725.95x = 5,141.50 × 2,047.27
  4. Step 4: Simplify right side
    3,725.95x = 10,526,038.71
  5. Step 5: Solve for x
    x = 10,526,038.71/3,725.95
  6. Step 6: Final answer
    x = 2,825.06

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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.