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Finding the Fourth Proportional to 5,405.04, 7,460.11 and 3,414.33

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Solution

The fourth proportional to 5,405.04, 7,460.11 and 3,414.33 is: 4,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.04 : 7,460.11 = 3,414.33 : x
  2. Step 2: Convert to fraction form
    5,405.04/7,460.11 = 3,414.33/x
  3. Step 3: Cross multiply
    5,405.04x = 7,460.11 × 3,414.33
  4. Step 4: Simplify right side
    5,405.04x = 25,471,277.38
  5. Step 5: Solve for x
    x = 25,471,277.38/5,405.04
  6. Step 6: Final answer
    x = 4,712.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.