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Finding the Fourth Proportional to 6,477.92, 8,939.46 and 3,645.29

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Solution

The fourth proportional to 6,477.92, 8,939.46 and 3,645.29 is: 5,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.92 : 8,939.46 = 3,645.29 : x
  2. Step 2: Convert to fraction form
    6,477.92/8,939.46 = 3,645.29/x
  3. Step 3: Cross multiply
    6,477.92x = 8,939.46 × 3,645.29
  4. Step 4: Simplify right side
    6,477.92x = 32,586,879.45
  5. Step 5: Solve for x
    x = 32,586,879.45/6,477.92
  6. Step 6: Final answer
    x = 5,030.45

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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.