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Finding the Fourth Proportional to 5,608.16, 7,732.84 and 4,596.68

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Solution

The fourth proportional to 5,608.16, 7,732.84 and 4,596.68 is: 6,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.16 : 7,732.84 = 4,596.68 : x
  2. Step 2: Convert to fraction form
    5,608.16/7,732.84 = 4,596.68/x
  3. Step 3: Cross multiply
    5,608.16x = 7,732.84 × 4,596.68
  4. Step 4: Simplify right side
    5,608.16x = 35,545,390.97
  5. Step 5: Solve for x
    x = 35,545,390.97/5,608.16
  6. Step 6: Final answer
    x = 6,338.16

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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.