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Finding the Fourth Proportional to 3,454.20, 4,765.74 and 1,962.12

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Solution

The fourth proportional to 3,454.20, 4,765.74 and 1,962.12 is: 2,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.20 : 4,765.74 = 1,962.12 : x
  2. Step 2: Convert to fraction form
    3,454.20/4,765.74 = 1,962.12/x
  3. Step 3: Cross multiply
    3,454.20x = 4,765.74 × 1,962.12
  4. Step 4: Simplify right side
    3,454.20x = 9,350,953.77
  5. Step 5: Solve for x
    x = 9,350,953.77/3,454.20
  6. Step 6: Final answer
    x = 2,707.13

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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.