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Finding the Fourth Proportional to 6,062.07, 8,365.14 and 3,409.14

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Solution

The fourth proportional to 6,062.07, 8,365.14 and 3,409.14 is: 4,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.07 : 8,365.14 = 3,409.14 : x
  2. Step 2: Convert to fraction form
    6,062.07/8,365.14 = 3,409.14/x
  3. Step 3: Cross multiply
    6,062.07x = 8,365.14 × 3,409.14
  4. Step 4: Simplify right side
    6,062.07x = 28,517,933.38
  5. Step 5: Solve for x
    x = 28,517,933.38/6,062.07
  6. Step 6: Final answer
    x = 4,704.32

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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.