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Finding the Fourth Proportional to 3,725.99, 5,141.95 and 2,047.50

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Solution

The fourth proportional to 3,725.99, 5,141.95 and 2,047.50 is: 2,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.99 : 5,141.95 = 2,047.50 : x
  2. Step 2: Convert to fraction form
    3,725.99/5,141.95 = 2,047.50/x
  3. Step 3: Cross multiply
    3,725.99x = 5,141.95 × 2,047.50
  4. Step 4: Simplify right side
    3,725.99x = 10,528,137.51
  5. Step 5: Solve for x
    x = 10,528,137.51/3,725.99
  6. Step 6: Final answer
    x = 2,825.60

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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.