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Finding the Fourth Proportional to 5,776.68, 7,968.04 and 3,984.24

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Solution

The fourth proportional to 5,776.68, 7,968.04 and 3,984.24 is: 5,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.68 : 7,968.04 = 3,984.24 : x
  2. Step 2: Convert to fraction form
    5,776.68/7,968.04 = 3,984.24/x
  3. Step 3: Cross multiply
    5,776.68x = 7,968.04 × 3,984.24
  4. Step 4: Simplify right side
    5,776.68x = 31,746,583.69
  5. Step 5: Solve for x
    x = 31,746,583.69/5,776.68
  6. Step 6: Final answer
    x = 5,495.65

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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.