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Finding the Fourth Proportional to 2,572.89, 3,836.75 and 2,549.51

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Solution

The fourth proportional to 2,572.89, 3,836.75 and 2,549.51 is: 3,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.89 : 3,836.75 = 2,549.51 : x
  2. Step 2: Convert to fraction form
    2,572.89/3,836.75 = 2,549.51/x
  3. Step 3: Cross multiply
    2,572.89x = 3,836.75 × 2,549.51
  4. Step 4: Simplify right side
    2,572.89x = 9,781,800.56
  5. Step 5: Solve for x
    x = 9,781,800.56/2,572.89
  6. Step 6: Final answer
    x = 3,801.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.