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Finding the Fourth Proportional to 3,820.56, 5,274.89 and 2,645.25

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Solution

The fourth proportional to 3,820.56, 5,274.89 and 2,645.25 is: 3,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.56 : 5,274.89 = 2,645.25 : x
  2. Step 2: Convert to fraction form
    3,820.56/5,274.89 = 2,645.25/x
  3. Step 3: Cross multiply
    3,820.56x = 5,274.89 × 2,645.25
  4. Step 4: Simplify right side
    3,820.56x = 13,953,402.77
  5. Step 5: Solve for x
    x = 13,953,402.77/3,820.56
  6. Step 6: Final answer
    x = 3,652.19

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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.