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Finding the Fourth Proportional to 2,774.20, 3,820.60 and 2,713.72

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Solution

The fourth proportional to 2,774.20, 3,820.60 and 2,713.72 is: 3,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.20 : 3,820.60 = 2,713.72 : x
  2. Step 2: Convert to fraction form
    2,774.20/3,820.60 = 2,713.72/x
  3. Step 3: Cross multiply
    2,774.20x = 3,820.60 × 2,713.72
  4. Step 4: Simplify right side
    2,774.20x = 10,368,038.63
  5. Step 5: Solve for x
    x = 10,368,038.63/2,774.20
  6. Step 6: Final answer
    x = 3,737.31

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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.