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Finding the Fourth Proportional to 6,092.16, 8,407.68 and 3,735.36

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Solution

The fourth proportional to 6,092.16, 8,407.68 and 3,735.36 is: 5,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.16 : 8,407.68 = 3,735.36 : x
  2. Step 2: Convert to fraction form
    6,092.16/8,407.68 = 3,735.36/x
  3. Step 3: Cross multiply
    6,092.16x = 8,407.68 × 3,735.36
  4. Step 4: Simplify right side
    6,092.16x = 31,405,711.56
  5. Step 5: Solve for x
    x = 31,405,711.56/6,092.16
  6. Step 6: Final answer
    x = 5,155.10

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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.