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Finding the Fourth Proportional to 3,458.08, 4,772.24 and 2,041.84

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Solution

The fourth proportional to 3,458.08, 4,772.24 and 2,041.84 is: 2,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.08 : 4,772.24 = 2,041.84 : x
  2. Step 2: Convert to fraction form
    3,458.08/4,772.24 = 2,041.84/x
  3. Step 3: Cross multiply
    3,458.08x = 4,772.24 × 2,041.84
  4. Step 4: Simplify right side
    3,458.08x = 9,744,150.52
  5. Step 5: Solve for x
    x = 9,744,150.52/3,458.08
  6. Step 6: Final answer
    x = 2,817.79

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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.