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Finding the Fourth Proportional to 5,405.01, 7,458.39 and 3,414.84

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Solution

The fourth proportional to 5,405.01, 7,458.39 and 3,414.84 is: 4,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.01 : 7,458.39 = 3,414.84 : x
  2. Step 2: Convert to fraction form
    5,405.01/7,458.39 = 3,414.84/x
  3. Step 3: Cross multiply
    5,405.01x = 7,458.39 × 3,414.84
  4. Step 4: Simplify right side
    5,405.01x = 25,469,208.51
  5. Step 5: Solve for x
    x = 25,469,208.51/5,405.01
  6. Step 6: Final answer
    x = 4,712.15

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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.