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Finding the Fourth Proportional to 4,596.44, 6,845.98 and 4,574.04

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Solution

The fourth proportional to 4,596.44, 6,845.98 and 4,574.04 is: 6,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.44 : 6,845.98 = 4,574.04 : x
  2. Step 2: Convert to fraction form
    4,596.44/6,845.98 = 4,574.04/x
  3. Step 3: Cross multiply
    4,596.44x = 6,845.98 × 4,574.04
  4. Step 4: Simplify right side
    4,596.44x = 31,313,786.36
  5. Step 5: Solve for x
    x = 31,313,786.36/4,596.44
  6. Step 6: Final answer
    x = 6,812.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.