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Finding the Fourth Proportional to 6,145.92, 8,482.32 and 3,628.30

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Solution

The fourth proportional to 6,145.92, 8,482.32 and 3,628.30 is: 5,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.92 : 8,482.32 = 3,628.30 : x
  2. Step 2: Convert to fraction form
    6,145.92/8,482.32 = 3,628.30/x
  3. Step 3: Cross multiply
    6,145.92x = 8,482.32 × 3,628.30
  4. Step 4: Simplify right side
    6,145.92x = 30,776,401.66
  5. Step 5: Solve for x
    x = 30,776,401.66/6,145.92
  6. Step 6: Final answer
    x = 5,007.62

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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.