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Finding the Fourth Proportional to 4,623.65, 6,388.76 and 4,033.16

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Solution

The fourth proportional to 4,623.65, 6,388.76 and 4,033.16 is: 5,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.65 : 6,388.76 = 4,033.16 : x
  2. Step 2: Convert to fraction form
    4,623.65/6,388.76 = 4,033.16/x
  3. Step 3: Cross multiply
    4,623.65x = 6,388.76 × 4,033.16
  4. Step 4: Simplify right side
    4,623.65x = 25,766,891.28
  5. Step 5: Solve for x
    x = 25,766,891.28/4,623.65
  6. Step 6: Final answer
    x = 5,572.85

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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.